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Finding the Fourth Proportional to 141,410.68, 195,141.72 and 77,748

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Solution

The fourth proportional to 141,410.68, 195,141.72 and 77,748 is: 107,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,410.68 : 195,141.72 = 77,748 : x
  2. Step 2: Convert to fraction form
    141,410.68/195,141.72 = 77,748/x
  3. Step 3: Cross multiply
    141,410.68x = 195,141.72 × 77,748
  4. Step 4: Simplify right side
    141,410.68x = 15,171,878,446.56
  5. Step 5: Solve for x
    x = 15,171,878,446.56/141,410.68
  6. Step 6: Final answer
    x = 107,289.48

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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.