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Finding the Fourth Proportional to 119,572.22, 165,010.14 and 71,826.38

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Solution

The fourth proportional to 119,572.22, 165,010.14 and 71,826.38 is: 99,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,572.22 : 165,010.14 = 71,826.38 : x
  2. Step 2: Convert to fraction form
    119,572.22/165,010.14 = 71,826.38/x
  3. Step 3: Cross multiply
    119,572.22x = 165,010.14 × 71,826.38
  4. Step 4: Simplify right side
    119,572.22x = 11,852,081,019.49
  5. Step 5: Solve for x
    x = 11,852,081,019.49/119,572.22
  6. Step 6: Final answer
    x = 99,120.69

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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.