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Finding the Fourth Proportional to 142,820.58, 213,966 and 71,659.65

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Solution

The fourth proportional to 142,820.58, 213,966 and 71,659.65 is: 107,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,820.58 : 213,966 = 71,659.65 : x
  2. Step 2: Convert to fraction form
    142,820.58/213,966 = 71,659.65/x
  3. Step 3: Cross multiply
    142,820.58x = 213,966 × 71,659.65
  4. Step 4: Simplify right side
    142,820.58x = 15,332,728,671.90
  5. Step 5: Solve for x
    x = 15,332,728,671.90/142,820.58
  6. Step 6: Final answer
    x = 107,356.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.