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Finding the Fourth Proportional to 377,047.53, 565,841.18 and 137,160.96

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Solution

The fourth proportional to 377,047.53, 565,841.18 and 137,160.96 is: 205,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,047.53 : 565,841.18 = 137,160.96 : x
  2. Step 2: Convert to fraction form
    377,047.53/565,841.18 = 137,160.96/x
  3. Step 3: Cross multiply
    377,047.53x = 565,841.18 × 137,160.96
  4. Step 4: Simplify right side
    377,047.53x = 77,611,319,456.33
  5. Step 5: Solve for x
    x = 77,611,319,456.33/377,047.53
  6. Step 6: Final answer
    x = 205,839.62

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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.