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Finding the Fourth Proportional to 142,456.50, 213,613.65 and 47,653.68

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Solution

The fourth proportional to 142,456.50, 213,613.65 and 47,653.68 is: 71,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,456.50 : 213,613.65 = 47,653.68 : x
  2. Step 2: Convert to fraction form
    142,456.50/213,613.65 = 47,653.68/x
  3. Step 3: Cross multiply
    142,456.50x = 213,613.65 × 47,653.68
  4. Step 4: Simplify right side
    142,456.50x = 10,179,476,520.73
  5. Step 5: Solve for x
    x = 10,179,476,520.73/142,456.50
  6. Step 6: Final answer
    x = 71,456.74

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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.