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Finding the Fourth Proportional to 102,218.13, 141,061.02 and 56,895.14

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Solution

The fourth proportional to 102,218.13, 141,061.02 and 56,895.14 is: 78,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,218.13 : 141,061.02 = 56,895.14 : x
  2. Step 2: Convert to fraction form
    102,218.13/141,061.02 = 56,895.14/x
  3. Step 3: Cross multiply
    102,218.13x = 141,061.02 × 56,895.14
  4. Step 4: Simplify right side
    102,218.13x = 8,025,686,040.63
  5. Step 5: Solve for x
    x = 8,025,686,040.63/102,218.13
  6. Step 6: Final answer
    x = 78,515.29

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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.