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Finding the Fourth Proportional to 177,856.80, 266,137.20 and 131,200.80

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Solution

The fourth proportional to 177,856.80, 266,137.20 and 131,200.80 is: 196,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,856.80 : 266,137.20 = 131,200.80 : x
  2. Step 2: Convert to fraction form
    177,856.80/266,137.20 = 131,200.80/x
  3. Step 3: Cross multiply
    177,856.80x = 266,137.20 × 131,200.80
  4. Step 4: Simplify right side
    177,856.80x = 34,917,413,549.76
  5. Step 5: Solve for x
    x = 34,917,413,549.76/177,856.80
  6. Step 6: Final answer
    x = 196,323.19

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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.