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Finding the Fourth Proportional to 141,141.98, 211,691.50 and 41,275.46

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Solution

The fourth proportional to 141,141.98, 211,691.50 and 41,275.46 is: 61,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,141.98 : 211,691.50 = 41,275.46 : x
  2. Step 2: Convert to fraction form
    141,141.98/211,691.50 = 41,275.46/x
  3. Step 3: Cross multiply
    141,141.98x = 211,691.50 × 41,275.46
  4. Step 4: Simplify right side
    141,141.98x = 8,737,662,878.94
  5. Step 5: Solve for x
    x = 8,737,662,878.94/141,141.98
  6. Step 6: Final answer
    x = 61,906.91

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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.