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Finding the Fourth Proportional to 151,059, 226,151.10 and 113,776.12

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Solution

The fourth proportional to 151,059, 226,151.10 and 113,776.12 is: 170,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,059 : 226,151.10 = 113,776.12 : x
  2. Step 2: Convert to fraction form
    151,059/226,151.10 = 113,776.12/x
  3. Step 3: Cross multiply
    151,059x = 226,151.10 × 113,776.12
  4. Step 4: Simplify right side
    151,059x = 25,730,594,691.73
  5. Step 5: Solve for x
    x = 25,730,594,691.73/151,059
  6. Step 6: Final answer
    x = 170,334.73

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1.5x scale

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.