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Finding the Fourth Proportional to 177,769.60, 266,654.40 and 160,566.40

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Solution

The fourth proportional to 177,769.60, 266,654.40 and 160,566.40 is: 240,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,769.60 : 266,654.40 = 160,566.40 : x
  2. Step 2: Convert to fraction form
    177,769.60/266,654.40 = 160,566.40/x
  3. Step 3: Cross multiply
    177,769.60x = 266,654.40 × 160,566.40
  4. Step 4: Simplify right side
    177,769.60x = 42,815,737,052.16
  5. Step 5: Solve for x
    x = 42,815,737,052.16/177,769.60
  6. Step 6: Final answer
    x = 240,849.60

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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.