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Finding the Fourth Proportional to 223,817.40, 308,882 and 123,215.40

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Solution

The fourth proportional to 223,817.40, 308,882 and 123,215.40 is: 170,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,817.40 : 308,882 = 123,215.40 : x
  2. Step 2: Convert to fraction form
    223,817.40/308,882 = 123,215.40/x
  3. Step 3: Cross multiply
    223,817.40x = 308,882 × 123,215.40
  4. Step 4: Simplify right side
    223,817.40x = 38,059,019,182.80
  5. Step 5: Solve for x
    x = 38,059,019,182.80/223,817.40
  6. Step 6: Final answer
    x = 170,044.95

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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.