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Finding the Fourth Proportional to 153,339.84, 230,046.17 and 48,158.84

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Solution

The fourth proportional to 153,339.84, 230,046.17 and 48,158.84 is: 72,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,339.84 : 230,046.17 = 48,158.84 : x
  2. Step 2: Convert to fraction form
    153,339.84/230,046.17 = 48,158.84/x
  3. Step 3: Cross multiply
    153,339.84x = 230,046.17 × 48,158.84
  4. Step 4: Simplify right side
    153,339.84x = 11,078,755,302.62
  5. Step 5: Solve for x
    x = 11,078,755,302.62/153,339.84
  6. Step 6: Final answer
    x = 72,249.69

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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.