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Finding the Fourth Proportional to 138,762.93, 191,493.42 and 75,100.71

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Solution

The fourth proportional to 138,762.93, 191,493.42 and 75,100.71 is: 103,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,762.93 : 191,493.42 = 75,100.71 : x
  2. Step 2: Convert to fraction form
    138,762.93/191,493.42 = 75,100.71/x
  3. Step 3: Cross multiply
    138,762.93x = 191,493.42 × 75,100.71
  4. Step 4: Simplify right side
    138,762.93x = 14,381,291,802.33
  5. Step 5: Solve for x
    x = 14,381,291,802.33/138,762.93
  6. Step 6: Final answer
    x = 103,639.29

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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.