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Finding the Fourth Proportional to 109,385, 150,951.36 and 59,084

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Solution

The fourth proportional to 109,385, 150,951.36 and 59,084 is: 81,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,385 : 150,951.36 = 59,084 : x
  2. Step 2: Convert to fraction form
    109,385/150,951.36 = 59,084/x
  3. Step 3: Cross multiply
    109,385x = 150,951.36 × 59,084
  4. Step 4: Simplify right side
    109,385x = 8,918,810,154.24
  5. Step 5: Solve for x
    x = 8,918,810,154.24/109,385
  6. Step 6: Final answer
    x = 81,535.95

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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.