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Finding the Fourth Proportional to 96,902.30, 133,726.47 and 54,458.30

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Solution

The fourth proportional to 96,902.30, 133,726.47 and 54,458.30 is: 75,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,902.30 : 133,726.47 = 54,458.30 : x
  2. Step 2: Convert to fraction form
    96,902.30/133,726.47 = 54,458.30/x
  3. Step 3: Cross multiply
    96,902.30x = 133,726.47 × 54,458.30
  4. Step 4: Simplify right side
    96,902.30x = 7,282,516,221.20
  5. Step 5: Solve for x
    x = 7,282,516,221.20/96,902.30
  6. Step 6: Final answer
    x = 75,153.18

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1.5x scale

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.