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Finding the Fourth Proportional to 166,766.48, 230,173.48 and 106,323.20

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Solution

The fourth proportional to 166,766.48, 230,173.48 and 106,323.20 is: 146,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,766.48 : 230,173.48 = 106,323.20 : x
  2. Step 2: Convert to fraction form
    166,766.48/230,173.48 = 106,323.20/x
  3. Step 3: Cross multiply
    166,766.48x = 230,173.48 × 106,323.20
  4. Step 4: Simplify right side
    166,766.48x = 24,472,780,948.74
  5. Step 5: Solve for x
    x = 24,472,780,948.74/166,766.48
  6. Step 6: Final answer
    x = 146,748.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.