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Finding the Fourth Proportional to 83,190.75, 114,763.10 and 54,497.90

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Solution

The fourth proportional to 83,190.75, 114,763.10 and 54,497.90 is: 75,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,190.75 : 114,763.10 = 54,497.90 : x
  2. Step 2: Convert to fraction form
    83,190.75/114,763.10 = 54,497.90/x
  3. Step 3: Cross multiply
    83,190.75x = 114,763.10 × 54,497.90
  4. Step 4: Simplify right side
    83,190.75x = 6,254,347,101.19
  5. Step 5: Solve for x
    x = 6,254,347,101.19/83,190.75
  6. Step 6: Final answer
    x = 75,180.80

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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.