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Finding the Fourth Proportional to 142,963.47, 214,106.22 and 113,285.88

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Solution

The fourth proportional to 142,963.47, 214,106.22 and 113,285.88 is: 169,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,963.47 : 214,106.22 = 113,285.88 : x
  2. Step 2: Convert to fraction form
    142,963.47/214,106.22 = 113,285.88/x
  3. Step 3: Cross multiply
    142,963.47x = 214,106.22 × 113,285.88
  4. Step 4: Simplify right side
    142,963.47x = 24,255,211,546.17
  5. Step 5: Solve for x
    x = 24,255,211,546.17/142,963.47
  6. Step 6: Final answer
    x = 169,660.20

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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.