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Finding the Fourth Proportional to 123,104.28, 169,846.14 and 75,307.80

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Solution

The fourth proportional to 123,104.28, 169,846.14 and 75,307.80 is: 103,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,104.28 : 169,846.14 = 75,307.80 : x
  2. Step 2: Convert to fraction form
    123,104.28/169,846.14 = 75,307.80/x
  3. Step 3: Cross multiply
    123,104.28x = 169,846.14 × 75,307.80
  4. Step 4: Simplify right side
    123,104.28x = 12,790,739,141.89
  5. Step 5: Solve for x
    x = 12,790,739,141.89/123,104.28
  6. Step 6: Final answer
    x = 103,901.66

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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.