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Finding the Fourth Proportional to 129,324.17, 178,467.32 and 72,735.50

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Solution

The fourth proportional to 129,324.17, 178,467.32 and 72,735.50 is: 100,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,324.17 : 178,467.32 = 72,735.50 : x
  2. Step 2: Convert to fraction form
    129,324.17/178,467.32 = 72,735.50/x
  3. Step 3: Cross multiply
    129,324.17x = 178,467.32 × 72,735.50
  4. Step 4: Simplify right side
    129,324.17x = 12,980,909,390.18
  5. Step 5: Solve for x
    x = 12,980,909,390.18/129,324.17
  6. Step 6: Final answer
    x = 100,374.97

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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.