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Finding the Fourth Proportional to 102,040.68, 140,818.74 and 56,099.76

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Solution

The fourth proportional to 102,040.68, 140,818.74 and 56,099.76 is: 77,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,040.68 : 140,818.74 = 56,099.76 : x
  2. Step 2: Convert to fraction form
    102,040.68/140,818.74 = 56,099.76/x
  3. Step 3: Cross multiply
    102,040.68x = 140,818.74 × 56,099.76
  4. Step 4: Simplify right side
    102,040.68x = 7,899,897,517.50
  5. Step 5: Solve for x
    x = 7,899,897,517.50/102,040.68
  6. Step 6: Final answer
    x = 77,419.10

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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.