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Finding the Fourth Proportional to 129,233.34, 178,308.27 and 75,487.82

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Solution

The fourth proportional to 129,233.34, 178,308.27 and 75,487.82 is: 104,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,233.34 : 178,308.27 = 75,487.82 : x
  2. Step 2: Convert to fraction form
    129,233.34/178,308.27 = 75,487.82/x
  3. Step 3: Cross multiply
    129,233.34x = 178,308.27 × 75,487.82
  4. Step 4: Simplify right side
    129,233.34x = 13,460,101,698.73
  5. Step 5: Solve for x
    x = 13,460,101,698.73/129,233.34
  6. Step 6: Final answer
    x = 104,153.48

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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.