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Finding the Fourth Proportional to 261,125.50, 360,367.77 and 147,984.70

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Solution

The fourth proportional to 261,125.50, 360,367.77 and 147,984.70 is: 204,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,125.50 : 360,367.77 = 147,984.70 : x
  2. Step 2: Convert to fraction form
    261,125.50/360,367.77 = 147,984.70/x
  3. Step 3: Cross multiply
    261,125.50x = 360,367.77 × 147,984.70
  4. Step 4: Simplify right side
    261,125.50x = 53,328,916,333.12
  5. Step 5: Solve for x
    x = 53,328,916,333.12/261,125.50
  6. Step 6: Final answer
    x = 204,227.15

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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.