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Finding the Fourth Proportional to 160,446.16, 221,418.84 and 88,824.16

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Solution

The fourth proportional to 160,446.16, 221,418.84 and 88,824.16 is: 122,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,446.16 : 221,418.84 = 88,824.16 : x
  2. Step 2: Convert to fraction form
    160,446.16/221,418.84 = 88,824.16/x
  3. Step 3: Cross multiply
    160,446.16x = 221,418.84 × 88,824.16
  4. Step 4: Simplify right side
    160,446.16x = 19,667,342,471.17
  5. Step 5: Solve for x
    x = 19,667,342,471.17/160,446.16
  6. Step 6: Final answer
    x = 122,579.08

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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.