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Finding the Fourth Proportional to 157,934.10, 236,866.35 and 45,589.91

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Solution

The fourth proportional to 157,934.10, 236,866.35 and 45,589.91 is: 68,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,934.10 : 236,866.35 = 45,589.91 : x
  2. Step 2: Convert to fraction form
    157,934.10/236,866.35 = 45,589.91/x
  3. Step 3: Cross multiply
    157,934.10x = 236,866.35 × 45,589.91
  4. Step 4: Simplify right side
    157,934.10x = 10,798,715,578.53
  5. Step 5: Solve for x
    x = 10,798,715,578.53/157,934.10
  6. Step 6: Final answer
    x = 68,374.82

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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.