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Finding the Fourth Proportional to 103,655.72, 143,104.38 and 69,713.48

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Solution

The fourth proportional to 103,655.72, 143,104.38 and 69,713.48 is: 96,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655.72 : 143,104.38 = 69,713.48 : x
  2. Step 2: Convert to fraction form
    103,655.72/143,104.38 = 69,713.48/x
  3. Step 3: Cross multiply
    103,655.72x = 143,104.38 × 69,713.48
  4. Step 4: Simplify right side
    103,655.72x = 9,976,304,333.04
  5. Step 5: Solve for x
    x = 9,976,304,333.04/103,655.72
  6. Step 6: Final answer
    x = 96,244.61

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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.