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Finding the Fourth Proportional to 177,854.56, 266,856.72 and 77,963.20

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Solution

The fourth proportional to 177,854.56, 266,856.72 and 77,963.20 is: 116,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,854.56 : 266,856.72 = 77,963.20 : x
  2. Step 2: Convert to fraction form
    177,854.56/266,856.72 = 77,963.20/x
  3. Step 3: Cross multiply
    177,854.56x = 266,856.72 × 77,963.20
  4. Step 4: Simplify right side
    177,854.56x = 20,805,003,832.70
  5. Step 5: Solve for x
    x = 20,805,003,832.70/177,854.56
  6. Step 6: Final answer
    x = 116,977.62

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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.