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Finding the Fourth Proportional to 206,681.80, 310,022.70 and 131,886.40

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Solution

The fourth proportional to 206,681.80, 310,022.70 and 131,886.40 is: 197,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,681.80 : 310,022.70 = 131,886.40 : x
  2. Step 2: Convert to fraction form
    206,681.80/310,022.70 = 131,886.40/x
  3. Step 3: Cross multiply
    206,681.80x = 310,022.70 × 131,886.40
  4. Step 4: Simplify right side
    206,681.80x = 40,887,777,821.28
  5. Step 5: Solve for x
    x = 40,887,777,821.28/206,681.80
  6. Step 6: Final answer
    x = 197,829.60

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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.