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Finding the Fourth Proportional to 100,222.92, 138,305.88 and 54,901.80

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Solution

The fourth proportional to 100,222.92, 138,305.88 and 54,901.80 is: 75,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,222.92 : 138,305.88 = 54,901.80 : x
  2. Step 2: Convert to fraction form
    100,222.92/138,305.88 = 54,901.80/x
  3. Step 3: Cross multiply
    100,222.92x = 138,305.88 × 54,901.80
  4. Step 4: Simplify right side
    100,222.92x = 7,593,241,762.58
  5. Step 5: Solve for x
    x = 7,593,241,762.58/100,222.92
  6. Step 6: Final answer
    x = 75,763.53

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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.