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Finding the Fourth Proportional to 100,701.75, 138,965.65 and 55,379.74

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Solution

The fourth proportional to 100,701.75, 138,965.65 and 55,379.74 is: 76,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.75 : 138,965.65 = 55,379.74 : x
  2. Step 2: Convert to fraction form
    100,701.75/138,965.65 = 55,379.74/x
  3. Step 3: Cross multiply
    100,701.75x = 138,965.65 × 55,379.74
  4. Step 4: Simplify right side
    100,701.75x = 7,695,881,080.07
  5. Step 5: Solve for x
    x = 7,695,881,080.07/100,701.75
  6. Step 6: Final answer
    x = 76,422.51

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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.