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Finding the Fourth Proportional to 138,707.91, 191,415.42 and 75,044.34

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Solution

The fourth proportional to 138,707.91, 191,415.42 and 75,044.34 is: 103,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,707.91 : 191,415.42 = 75,044.34 : x
  2. Step 2: Convert to fraction form
    138,707.91/191,415.42 = 75,044.34/x
  3. Step 3: Cross multiply
    138,707.91x = 191,415.42 × 75,044.34
  4. Step 4: Simplify right side
    138,707.91x = 14,364,643,859.72
  5. Step 5: Solve for x
    x = 14,364,643,859.72/138,707.91
  6. Step 6: Final answer
    x = 103,560.38

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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.