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Finding the Fourth Proportional to 206,982,224.80, 310,473,337.20 and 61,438,249.60

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Solution

The fourth proportional to 206,982,224.80, 310,473,337.20 and 61,438,249.60 is: 92,157,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,982,224.80 : 310,473,337.20 = 61,438,249.60 : x
  2. Step 2: Convert to fraction form
    206,982,224.80/310,473,337.20 = 61,438,249.60/x
  3. Step 3: Cross multiply
    206,982,224.80x = 310,473,337.20 × 61,438,249.60
  4. Step 4: Simplify right side
    206,982,224.80x = 19,074,938,385,038,564
  5. Step 5: Solve for x
    x = 19,074,938,385,038,564/206,982,224.80
  6. Step 6: Final answer
    x = 92,157,374.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.