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Finding the Fourth Proportional to 209,606.56, 289,294.78 and 123,560.41

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Solution

The fourth proportional to 209,606.56, 289,294.78 and 123,560.41 is: 170,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,606.56 : 289,294.78 = 123,560.41 : x
  2. Step 2: Convert to fraction form
    209,606.56/289,294.78 = 123,560.41/x
  3. Step 3: Cross multiply
    209,606.56x = 289,294.78 × 123,560.41
  4. Step 4: Simplify right side
    209,606.56x = 35,745,381,627.66
  5. Step 5: Solve for x
    x = 35,745,381,627.66/209,606.56
  6. Step 6: Final answer
    x = 170,535.61

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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.