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Finding the Fourth Proportional to 151,266.56, 226,899.84 and 57,781.76

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Solution

The fourth proportional to 151,266.56, 226,899.84 and 57,781.76 is: 86,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,266.56 : 226,899.84 = 57,781.76 : x
  2. Step 2: Convert to fraction form
    151,266.56/226,899.84 = 57,781.76/x
  3. Step 3: Cross multiply
    151,266.56x = 226,899.84 × 57,781.76
  4. Step 4: Simplify right side
    151,266.56x = 13,110,672,098.92
  5. Step 5: Solve for x
    x = 13,110,672,098.92/151,266.56
  6. Step 6: Final answer
    x = 86,672.64

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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.