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Finding the Fourth Proportional to 377,046.53, 565,839.68 and 137,159.96

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Solution

The fourth proportional to 377,046.53, 565,839.68 and 137,159.96 is: 205,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,046.53 : 565,839.68 = 137,159.96 : x
  2. Step 2: Convert to fraction form
    377,046.53/565,839.68 = 137,159.96/x
  3. Step 3: Cross multiply
    377,046.53x = 565,839.68 × 137,159.96
  4. Step 4: Simplify right side
    377,046.53x = 77,610,544,360.21
  5. Step 5: Solve for x
    x = 77,610,544,360.21/377,046.53
  6. Step 6: Final answer
    x = 205,838.11

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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.