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Finding the Fourth Proportional to 169,827.20, 254,708.08 and 161,397.76

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Solution

The fourth proportional to 169,827.20, 254,708.08 and 161,397.76 is: 242,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,827.20 : 254,708.08 = 161,397.76 : x
  2. Step 2: Convert to fraction form
    169,827.20/254,708.08 = 161,397.76/x
  3. Step 3: Cross multiply
    169,827.20x = 254,708.08 × 161,397.76
  4. Step 4: Simplify right side
    169,827.20x = 41,109,313,565.90
  5. Step 5: Solve for x
    x = 41,109,313,565.90/169,827.20
  6. Step 6: Final answer
    x = 242,065.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.