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Finding the Fourth Proportional to 218,704.60, 301,805.76 and 123,209.20

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Solution

The fourth proportional to 218,704.60, 301,805.76 and 123,209.20 is: 170,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,704.60 : 301,805.76 = 123,209.20 : x
  2. Step 2: Convert to fraction form
    218,704.60/301,805.76 = 123,209.20/x
  3. Step 3: Cross multiply
    218,704.60x = 301,805.76 × 123,209.20
  4. Step 4: Simplify right side
    218,704.60x = 37,185,246,244.99
  5. Step 5: Solve for x
    x = 37,185,246,244.99/218,704.60
  6. Step 6: Final answer
    x = 170,024.98

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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.