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Finding the Fourth Proportional to 145,974.20, 218,910.10 and 75,830.20

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Solution

The fourth proportional to 145,974.20, 218,910.10 and 75,830.20 is: 113,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,974.20 : 218,910.10 = 75,830.20 : x
  2. Step 2: Convert to fraction form
    145,974.20/218,910.10 = 75,830.20/x
  3. Step 3: Cross multiply
    145,974.20x = 218,910.10 × 75,830.20
  4. Step 4: Simplify right side
    145,974.20x = 16,599,996,665.02
  5. Step 5: Solve for x
    x = 16,599,996,665.02/145,974.20
  6. Step 6: Final answer
    x = 113,718.70

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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.