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Finding the Fourth Proportional to 102,424.77, 141,346.74 and 57,105.58

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Solution

The fourth proportional to 102,424.77, 141,346.74 and 57,105.58 is: 78,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,424.77 : 141,346.74 = 57,105.58 : x
  2. Step 2: Convert to fraction form
    102,424.77/141,346.74 = 57,105.58/x
  3. Step 3: Cross multiply
    102,424.77x = 141,346.74 × 57,105.58
  4. Step 4: Simplify right side
    102,424.77x = 8,071,687,568.81
  5. Step 5: Solve for x
    x = 8,071,687,568.81/102,424.77
  6. Step 6: Final answer
    x = 78,806.01

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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.