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Finding the Fourth Proportional to 154,520.62, 231,878.43 and 65,773.98

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Solution

The fourth proportional to 154,520.62, 231,878.43 and 65,773.98 is: 98,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,520.62 : 231,878.43 = 65,773.98 : x
  2. Step 2: Convert to fraction form
    154,520.62/231,878.43 = 65,773.98/x
  3. Step 3: Cross multiply
    154,520.62x = 231,878.43 × 65,773.98
  4. Step 4: Simplify right side
    154,520.62x = 15,251,567,217.25
  5. Step 5: Solve for x
    x = 15,251,567,217.25/154,520.62
  6. Step 6: Final answer
    x = 98,702.47

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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.