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Finding the Fourth Proportional to 107,967.87, 148,995.92 and 60,224.31

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Solution

The fourth proportional to 107,967.87, 148,995.92 and 60,224.31 is: 83,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967.87 : 148,995.92 = 60,224.31 : x
  2. Step 2: Convert to fraction form
    107,967.87/148,995.92 = 60,224.31/x
  3. Step 3: Cross multiply
    107,967.87x = 148,995.92 × 60,224.31
  4. Step 4: Simplify right side
    107,967.87x = 8,973,176,625.38
  5. Step 5: Solve for x
    x = 8,973,176,625.38/107,967.87
  6. Step 6: Final answer
    x = 83,109.69

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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.