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Finding the Fourth Proportional to 177,400.80, 266,101.20 and 156,664.80

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Solution

The fourth proportional to 177,400.80, 266,101.20 and 156,664.80 is: 234,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,400.80 : 266,101.20 = 156,664.80 : x
  2. Step 2: Convert to fraction form
    177,400.80/266,101.20 = 156,664.80/x
  3. Step 3: Cross multiply
    177,400.80x = 266,101.20 × 156,664.80
  4. Step 4: Simplify right side
    177,400.80x = 41,688,691,277.76
  5. Step 5: Solve for x
    x = 41,688,691,277.76/177,400.80
  6. Step 6: Final answer
    x = 234,997.20

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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.