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Finding the Fourth Proportional to 104,542.14, 144,257.72 and 59,211.06

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Solution

The fourth proportional to 104,542.14, 144,257.72 and 59,211.06 is: 81,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,542.14 : 144,257.72 = 59,211.06 : x
  2. Step 2: Convert to fraction form
    104,542.14/144,257.72 = 59,211.06/x
  3. Step 3: Cross multiply
    104,542.14x = 144,257.72 × 59,211.06
  4. Step 4: Simplify right side
    104,542.14x = 8,541,652,514.38
  5. Step 5: Solve for x
    x = 8,541,652,514.38/104,542.14
  6. Step 6: Final answer
    x = 81,705.35

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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.