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Finding the Fourth Proportional to 98,742.20, 148,134.90 and 48,846.20

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Solution

The fourth proportional to 98,742.20, 148,134.90 and 48,846.20 is: 73,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,742.20 : 148,134.90 = 48,846.20 : x
  2. Step 2: Convert to fraction form
    98,742.20/148,134.90 = 48,846.20/x
  3. Step 3: Cross multiply
    98,742.20x = 148,134.90 × 48,846.20
  4. Step 4: Simplify right side
    98,742.20x = 7,235,826,952.38
  5. Step 5: Solve for x
    x = 7,235,826,952.38/98,742.20
  6. Step 6: Final answer
    x = 73,279.99

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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.