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Finding the Fourth Proportional to 177,397.83, 266,454.88 and 106,455.20

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Solution

The fourth proportional to 177,397.83, 266,454.88 and 106,455.20 is: 159,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,397.83 : 266,454.88 = 106,455.20 : x
  2. Step 2: Convert to fraction form
    177,397.83/266,454.88 = 106,455.20/x
  3. Step 3: Cross multiply
    177,397.83x = 266,454.88 × 106,455.20
  4. Step 4: Simplify right side
    177,397.83x = 28,365,505,942.96
  5. Step 5: Solve for x
    x = 28,365,505,942.96/177,397.83
  6. Step 6: Final answer
    x = 159,897.71

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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.