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Finding the Fourth Proportional to 166,965.60, 250,448.40 and 42,306.60

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Solution

The fourth proportional to 166,965.60, 250,448.40 and 42,306.60 is: 63,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,965.60 : 250,448.40 = 42,306.60 : x
  2. Step 2: Convert to fraction form
    166,965.60/250,448.40 = 42,306.60/x
  3. Step 3: Cross multiply
    166,965.60x = 250,448.40 × 42,306.60
  4. Step 4: Simplify right side
    166,965.60x = 10,595,620,279.44
  5. Step 5: Solve for x
    x = 10,595,620,279.44/166,965.60
  6. Step 6: Final answer
    x = 63,459.90

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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.