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Finding the Fourth Proportional to 138,792.76, 191,532.42 and 75,129.16

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Solution

The fourth proportional to 138,792.76, 191,532.42 and 75,129.16 is: 103,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,792.76 : 191,532.42 = 75,129.16 : x
  2. Step 2: Convert to fraction form
    138,792.76/191,532.42 = 75,129.16/x
  3. Step 3: Cross multiply
    138,792.76x = 191,532.42 × 75,129.16
  4. Step 4: Simplify right side
    138,792.76x = 14,389,669,827.37
  5. Step 5: Solve for x
    x = 14,389,669,827.37/138,792.76
  6. Step 6: Final answer
    x = 103,677.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.