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Finding the Fourth Proportional to 206,923.80, 310,602.88 and 183,381.96

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Solution

The fourth proportional to 206,923.80, 310,602.88 and 183,381.96 is: 275,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,923.80 : 310,602.88 = 183,381.96 : x
  2. Step 2: Convert to fraction form
    206,923.80/310,602.88 = 183,381.96/x
  3. Step 3: Cross multiply
    206,923.80x = 310,602.88 × 183,381.96
  4. Step 4: Simplify right side
    206,923.80x = 56,958,964,916.04
  5. Step 5: Solve for x
    x = 56,958,964,916.04/206,923.80
  6. Step 6: Final answer
    x = 275,265.41

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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.