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Finding the Fourth Proportional to 102,039.68, 140,817.36 and 56,098.76

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Solution

The fourth proportional to 102,039.68, 140,817.36 and 56,098.76 is: 77,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.68 : 140,817.36 = 56,098.76 : x
  2. Step 2: Convert to fraction form
    102,039.68/140,817.36 = 56,098.76/x
  3. Step 3: Cross multiply
    102,039.68x = 140,817.36 × 56,098.76
  4. Step 4: Simplify right side
    102,039.68x = 7,899,679,282.47
  5. Step 5: Solve for x
    x = 7,899,679,282.47/102,039.68
  6. Step 6: Final answer
    x = 77,417.72

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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.