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Finding the Fourth Proportional to 243,553.10, 365,329.65 and 205,061.90

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Solution

The fourth proportional to 243,553.10, 365,329.65 and 205,061.90 is: 307,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,553.10 : 365,329.65 = 205,061.90 : x
  2. Step 2: Convert to fraction form
    243,553.10/365,329.65 = 205,061.90/x
  3. Step 3: Cross multiply
    243,553.10x = 365,329.65 × 205,061.90
  4. Step 4: Simplify right side
    243,553.10x = 74,915,192,155.34
  5. Step 5: Solve for x
    x = 74,915,192,155.34/243,553.10
  6. Step 6: Final answer
    x = 307,592.85

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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.