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Finding the Fourth Proportional to 100,565.81, 138,781.71 and 55,244.72

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Solution

The fourth proportional to 100,565.81, 138,781.71 and 55,244.72 is: 76,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.81 : 138,781.71 = 55,244.72 : x
  2. Step 2: Convert to fraction form
    100,565.81/138,781.71 = 55,244.72/x
  3. Step 3: Cross multiply
    100,565.81x = 138,781.71 × 55,244.72
  4. Step 4: Simplify right side
    100,565.81x = 7,666,956,016.16
  5. Step 5: Solve for x
    x = 7,666,956,016.16/100,565.81
  6. Step 6: Final answer
    x = 76,238.20

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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.