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Finding the Fourth Proportional to 160,193, 221,057.70 and 88,568.84

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Solution

The fourth proportional to 160,193, 221,057.70 and 88,568.84 is: 122,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,193 : 221,057.70 = 88,568.84 : x
  2. Step 2: Convert to fraction form
    160,193/221,057.70 = 88,568.84/x
  3. Step 3: Cross multiply
    160,193x = 221,057.70 × 88,568.84
  4. Step 4: Simplify right side
    160,193x = 19,578,824,062.07
  5. Step 5: Solve for x
    x = 19,578,824,062.07/160,193
  6. Step 6: Final answer
    x = 122,220.22

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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.