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Finding the Fourth Proportional to 142,049.60, 212,928.60 and 82,854.80

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Solution

The fourth proportional to 142,049.60, 212,928.60 and 82,854.80 is: 124,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,049.60 : 212,928.60 = 82,854.80 : x
  2. Step 2: Convert to fraction form
    142,049.60/212,928.60 = 82,854.80/x
  3. Step 3: Cross multiply
    142,049.60x = 212,928.60 × 82,854.80
  4. Step 4: Simplify right side
    142,049.60x = 17,642,156,567.28
  5. Step 5: Solve for x
    x = 17,642,156,567.28/142,049.60
  6. Step 6: Final answer
    x = 124,197.16

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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.