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Finding the Fourth Proportional to 124,412.78, 186,619.16 and 41,306.78

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Solution

The fourth proportional to 124,412.78, 186,619.16 and 41,306.78 is: 61,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,412.78 : 186,619.16 = 41,306.78 : x
  2. Step 2: Convert to fraction form
    124,412.78/186,619.16 = 41,306.78/x
  3. Step 3: Cross multiply
    124,412.78x = 186,619.16 × 41,306.78
  4. Step 4: Simplify right side
    124,412.78x = 7,708,635,446.28
  5. Step 5: Solve for x
    x = 7,708,635,446.28/124,412.78
  6. Step 6: Final answer
    x = 61,960.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.