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Finding the Fourth Proportional to 102,461.52, 141,419.46 and 66,589.20

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Solution

The fourth proportional to 102,461.52, 141,419.46 and 66,589.20 is: 91,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,461.52 : 141,419.46 = 66,589.20 : x
  2. Step 2: Convert to fraction form
    102,461.52/141,419.46 = 66,589.20/x
  3. Step 3: Cross multiply
    102,461.52x = 141,419.46 × 66,589.20
  4. Step 4: Simplify right side
    102,461.52x = 9,417,008,705.83
  5. Step 5: Solve for x
    x = 9,417,008,705.83/102,461.52
  6. Step 6: Final answer
    x = 91,907.76

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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.