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Finding the Fourth Proportional to 142,981.70, 214,472.55 and 54,205.70

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Solution

The fourth proportional to 142,981.70, 214,472.55 and 54,205.70 is: 81,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,981.70 : 214,472.55 = 54,205.70 : x
  2. Step 2: Convert to fraction form
    142,981.70/214,472.55 = 54,205.70/x
  3. Step 3: Cross multiply
    142,981.70x = 214,472.55 × 54,205.70
  4. Step 4: Simplify right side
    142,981.70x = 11,625,634,703.54
  5. Step 5: Solve for x
    x = 11,625,634,703.54/142,981.70
  6. Step 6: Final answer
    x = 81,308.55

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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.