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Finding the Fourth Proportional to 154,842.56, 232,264.14 and 42,524.24

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Solution

The fourth proportional to 154,842.56, 232,264.14 and 42,524.24 is: 63,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,842.56 : 232,264.14 = 42,524.24 : x
  2. Step 2: Convert to fraction form
    154,842.56/232,264.14 = 42,524.24/x
  3. Step 3: Cross multiply
    154,842.56x = 232,264.14 × 42,524.24
  4. Step 4: Simplify right side
    154,842.56x = 9,876,856,032.75
  5. Step 5: Solve for x
    x = 9,876,856,032.75/154,842.56
  6. Step 6: Final answer
    x = 63,786.44

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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.