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Finding the Fourth Proportional to 160,195.83, 220,966.10 and 102,744.15

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Solution

The fourth proportional to 160,195.83, 220,966.10 and 102,744.15 is: 141,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,195.83 : 220,966.10 = 102,744.15 : x
  2. Step 2: Convert to fraction form
    160,195.83/220,966.10 = 102,744.15/x
  3. Step 3: Cross multiply
    160,195.83x = 220,966.10 × 102,744.15
  4. Step 4: Simplify right side
    160,195.83x = 22,702,973,609.59
  5. Step 5: Solve for x
    x = 22,702,973,609.59/160,195.83
  6. Step 6: Final answer
    x = 141,720.13

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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.