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Finding the Fourth Proportional to 120,184.17, 165,849.14 and 65,735.46

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Solution

The fourth proportional to 120,184.17, 165,849.14 and 65,735.46 is: 90,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,184.17 : 165,849.14 = 65,735.46 : x
  2. Step 2: Convert to fraction form
    120,184.17/165,849.14 = 65,735.46/x
  3. Step 3: Cross multiply
    120,184.17x = 165,849.14 × 65,735.46
  4. Step 4: Simplify right side
    120,184.17x = 10,902,169,179.83
  5. Step 5: Solve for x
    x = 10,902,169,179.83/120,184.17
  6. Step 6: Final answer
    x = 90,712.19

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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.