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Finding the Fourth Proportional to 238,097.84, 328,589.80 and 157,385.39

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Solution

The fourth proportional to 238,097.84, 328,589.80 and 157,385.39 is: 217,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,097.84 : 328,589.80 = 157,385.39 : x
  2. Step 2: Convert to fraction form
    238,097.84/328,589.80 = 157,385.39/x
  3. Step 3: Cross multiply
    238,097.84x = 328,589.80 × 157,385.39
  4. Step 4: Simplify right side
    238,097.84x = 51,715,234,251.03
  5. Step 5: Solve for x
    x = 51,715,234,251.03/238,097.84
  6. Step 6: Final answer
    x = 217,201.61

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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.