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Finding the Fourth Proportional to 150,346.80, 207,478.80 and 83,278.80

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Solution

The fourth proportional to 150,346.80, 207,478.80 and 83,278.80 is: 114,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,346.80 : 207,478.80 = 83,278.80 : x
  2. Step 2: Convert to fraction form
    150,346.80/207,478.80 = 83,278.80/x
  3. Step 3: Cross multiply
    150,346.80x = 207,478.80 × 83,278.80
  4. Step 4: Simplify right side
    150,346.80x = 17,278,585,489.44
  5. Step 5: Solve for x
    x = 17,278,585,489.44/150,346.80
  6. Step 6: Final answer
    x = 114,924.86

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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.