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Finding the Fourth Proportional to 141,564.70, 212,348.13 and 51,671.85

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Solution

The fourth proportional to 141,564.70, 212,348.13 and 51,671.85 is: 77,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,564.70 : 212,348.13 = 51,671.85 : x
  2. Step 2: Convert to fraction form
    141,564.70/212,348.13 = 51,671.85/x
  3. Step 3: Cross multiply
    141,564.70x = 212,348.13 × 51,671.85
  4. Step 4: Simplify right side
    141,564.70x = 10,972,420,721.14
  5. Step 5: Solve for x
    x = 10,972,420,721.14/141,564.70
  6. Step 6: Final answer
    x = 77,508.17

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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.