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Finding the Fourth Proportional to 129,445.68, 178,600.08 and 75,744

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Solution

The fourth proportional to 129,445.68, 178,600.08 and 75,744 is: 104,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,445.68 : 178,600.08 = 75,744 : x
  2. Step 2: Convert to fraction form
    129,445.68/178,600.08 = 75,744/x
  3. Step 3: Cross multiply
    129,445.68x = 178,600.08 × 75,744
  4. Step 4: Simplify right side
    129,445.68x = 13,527,884,459.52
  5. Step 5: Solve for x
    x = 13,527,884,459.52/129,445.68
  6. Step 6: Final answer
    x = 104,506.26

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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.