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Finding the Fourth Proportional to 142,981.20, 214,471.80 and 54,205.20

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Solution

The fourth proportional to 142,981.20, 214,471.80 and 54,205.20 is: 81,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,981.20 : 214,471.80 = 54,205.20 : x
  2. Step 2: Convert to fraction form
    142,981.20/214,471.80 = 54,205.20/x
  3. Step 3: Cross multiply
    142,981.20x = 214,471.80 × 54,205.20
  4. Step 4: Simplify right side
    142,981.20x = 11,625,486,813.36
  5. Step 5: Solve for x
    x = 11,625,486,813.36/142,981.20
  6. Step 6: Final answer
    x = 81,307.80

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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.