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Finding the Fourth Proportional to 150,343.50, 207,474.45 and 83,275.50

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Solution

The fourth proportional to 150,343.50, 207,474.45 and 83,275.50 is: 114,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,343.50 : 207,474.45 = 83,275.50 : x
  2. Step 2: Convert to fraction form
    150,343.50/207,474.45 = 83,275.50/x
  3. Step 3: Cross multiply
    150,343.50x = 207,474.45 × 83,275.50
  4. Step 4: Simplify right side
    150,343.50x = 17,277,538,560.98
  5. Step 5: Solve for x
    x = 17,277,538,560.98/150,343.50
  6. Step 6: Final answer
    x = 114,920.42

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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.