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Finding the Fourth Proportional to 105,757.54, 145,925.20 and 60,449.88

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Solution

The fourth proportional to 105,757.54, 145,925.20 and 60,449.88 is: 83,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757.54 : 145,925.20 = 60,449.88 : x
  2. Step 2: Convert to fraction form
    105,757.54/145,925.20 = 60,449.88/x
  3. Step 3: Cross multiply
    105,757.54x = 145,925.20 × 60,449.88
  4. Step 4: Simplify right side
    105,757.54x = 8,821,160,828.98
  5. Step 5: Solve for x
    x = 8,821,160,828.98/105,757.54
  6. Step 6: Final answer
    x = 83,409.29

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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.