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Finding the Fourth Proportional to 102,459.60, 141,405.12 and 60,053.76

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Solution

The fourth proportional to 102,459.60, 141,405.12 and 60,053.76 is: 82,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,459.60 : 141,405.12 = 60,053.76 : x
  2. Step 2: Convert to fraction form
    102,459.60/141,405.12 = 60,053.76/x
  3. Step 3: Cross multiply
    102,459.60x = 141,405.12 × 60,053.76
  4. Step 4: Simplify right side
    102,459.60x = 8,491,909,139.25
  5. Step 5: Solve for x
    x = 8,491,909,139.25/102,459.60
  6. Step 6: Final answer
    x = 82,880.56

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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.