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Finding the Fourth Proportional to 183,402.69, 275,104.95 and 83,493

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Solution

The fourth proportional to 183,402.69, 275,104.95 and 83,493 is: 125,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,402.69 : 275,104.95 = 83,493 : x
  2. Step 2: Convert to fraction form
    183,402.69/275,104.95 = 83,493/x
  3. Step 3: Cross multiply
    183,402.69x = 275,104.95 × 83,493
  4. Step 4: Simplify right side
    183,402.69x = 22,969,337,590.35
  5. Step 5: Solve for x
    x = 22,969,337,590.35/183,402.69
  6. Step 6: Final answer
    x = 125,239.92

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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.