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Finding the Fourth Proportional to 150,295.50, 207,407.79 and 83,227.50

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Solution

The fourth proportional to 150,295.50, 207,407.79 and 83,227.50 is: 114,853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,295.50 : 207,407.79 = 83,227.50 : x
  2. Step 2: Convert to fraction form
    150,295.50/207,407.79 = 83,227.50/x
  3. Step 3: Cross multiply
    150,295.50x = 207,407.79 × 83,227.50
  4. Step 4: Simplify right side
    150,295.50x = 17,262,031,842.23
  5. Step 5: Solve for x
    x = 17,262,031,842.23/150,295.50
  6. Step 6: Final answer
    x = 114,853.95

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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.