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Finding the Fourth Proportional to 159,776.16, 220,571 and 99,366.27

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Solution

The fourth proportional to 159,776.16, 220,571 and 99,366.27 is: 137,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,776.16 : 220,571 = 99,366.27 : x
  2. Step 2: Convert to fraction form
    159,776.16/220,571 = 99,366.27/x
  3. Step 3: Cross multiply
    159,776.16x = 220,571 × 99,366.27
  4. Step 4: Simplify right side
    159,776.16x = 21,917,317,540.17
  5. Step 5: Solve for x
    x = 21,917,317,540.17/159,776.16
  6. Step 6: Final answer
    x = 137,175.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.