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Finding the Fourth Proportional to 285,191.12, 393,546.84 and 157,859.12

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Solution

The fourth proportional to 285,191.12, 393,546.84 and 157,859.12 is: 217,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,191.12 : 393,546.84 = 157,859.12 : x
  2. Step 2: Convert to fraction form
    285,191.12/393,546.84 = 157,859.12/x
  3. Step 3: Cross multiply
    285,191.12x = 393,546.84 × 157,859.12
  4. Step 4: Simplify right side
    285,191.12x = 62,124,957,841.18
  5. Step 5: Solve for x
    x = 62,124,957,841.18/285,191.12
  6. Step 6: Final answer
    x = 217,836.23

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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.