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Finding the Fourth Proportional to 387,202.68, 580,833.18 and 106,717.50

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Solution

The fourth proportional to 387,202.68, 580,833.18 and 106,717.50 is: 160,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,202.68 : 580,833.18 = 106,717.50 : x
  2. Step 2: Convert to fraction form
    387,202.68/580,833.18 = 106,717.50/x
  3. Step 3: Cross multiply
    387,202.68x = 580,833.18 × 106,717.50
  4. Step 4: Simplify right side
    387,202.68x = 61,985,064,886.65
  5. Step 5: Solve for x
    x = 61,985,064,886.65/387,202.68
  6. Step 6: Final answer
    x = 160,084.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.