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Finding the Fourth Proportional to 159,763.12, 220,433.72 and 97,657.94

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Solution

The fourth proportional to 159,763.12, 220,433.72 and 97,657.94 is: 134,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,763.12 : 220,433.72 = 97,657.94 : x
  2. Step 2: Convert to fraction form
    159,763.12/220,433.72 = 97,657.94/x
  3. Step 3: Cross multiply
    159,763.12x = 220,433.72 × 97,657.94
  4. Step 4: Simplify right side
    159,763.12x = 21,527,103,001.74
  5. Step 5: Solve for x
    x = 21,527,103,001.74/159,763.12
  6. Step 6: Final answer
    x = 134,743.88

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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.