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Finding the Fourth Proportional to 177,472.80, 266,262.56 and 106,473.60

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Solution

The fourth proportional to 177,472.80, 266,262.56 and 106,473.60 is: 159,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,472.80 : 266,262.56 = 106,473.60 : x
  2. Step 2: Convert to fraction form
    177,472.80/266,262.56 = 106,473.60/x
  3. Step 3: Cross multiply
    177,472.80x = 266,262.56 × 106,473.60
  4. Step 4: Simplify right side
    177,472.80x = 28,349,933,308.42
  5. Step 5: Solve for x
    x = 28,349,933,308.42/177,472.80
  6. Step 6: Final answer
    x = 159,742.41

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1.5x scale

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.