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Finding the Fourth Proportional to 121,609.80, 182,414.70 and 102,364.20

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Solution

The fourth proportional to 121,609.80, 182,414.70 and 102,364.20 is: 153,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,609.80 : 182,414.70 = 102,364.20 : x
  2. Step 2: Convert to fraction form
    121,609.80/182,414.70 = 102,364.20/x
  3. Step 3: Cross multiply
    121,609.80x = 182,414.70 × 102,364.20
  4. Step 4: Simplify right side
    121,609.80x = 18,672,734,833.74
  5. Step 5: Solve for x
    x = 18,672,734,833.74/121,609.80
  6. Step 6: Final answer
    x = 153,546.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.