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Finding the Fourth Proportional to 102,616.53, 141,571.85 and 62,315.07

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Solution

The fourth proportional to 102,616.53, 141,571.85 and 62,315.07 is: 85,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,616.53 : 141,571.85 = 62,315.07 : x
  2. Step 2: Convert to fraction form
    102,616.53/141,571.85 = 62,315.07/x
  3. Step 3: Cross multiply
    102,616.53x = 141,571.85 × 62,315.07
  4. Step 4: Simplify right side
    102,616.53x = 8,822,059,431.20
  5. Step 5: Solve for x
    x = 8,822,059,431.20/102,616.53
  6. Step 6: Final answer
    x = 85,971.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.