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Finding the Fourth Proportional to 129,267.14, 178,330.34 and 75,528

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Solution

The fourth proportional to 129,267.14, 178,330.34 and 75,528 is: 104,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,267.14 : 178,330.34 = 75,528 : x
  2. Step 2: Convert to fraction form
    129,267.14/178,330.34 = 75,528/x
  3. Step 3: Cross multiply
    129,267.14x = 178,330.34 × 75,528
  4. Step 4: Simplify right side
    129,267.14x = 13,468,933,919.52
  5. Step 5: Solve for x
    x = 13,468,933,919.52/129,267.14
  6. Step 6: Final answer
    x = 104,194.57

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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.