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Finding the Fourth Proportional to 154,843.53, 232,264.80 and 42,523.86

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Solution

The fourth proportional to 154,843.53, 232,264.80 and 42,523.86 is: 63,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,843.53 : 232,264.80 = 42,523.86 : x
  2. Step 2: Convert to fraction form
    154,843.53/232,264.80 = 42,523.86/x
  3. Step 3: Cross multiply
    154,843.53x = 232,264.80 × 42,523.86
  4. Step 4: Simplify right side
    154,843.53x = 9,876,795,838.13
  5. Step 5: Solve for x
    x = 9,876,795,838.13/154,843.53
  6. Step 6: Final answer
    x = 63,785.65

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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.