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Finding the Fourth Proportional to 98,249.96, 147,251.55 and 42,023.90

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Solution

The fourth proportional to 98,249.96, 147,251.55 and 42,023.90 is: 62,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,249.96 : 147,251.55 = 42,023.90 : x
  2. Step 2: Convert to fraction form
    98,249.96/147,251.55 = 42,023.90/x
  3. Step 3: Cross multiply
    98,249.96x = 147,251.55 × 42,023.90
  4. Step 4: Simplify right side
    98,249.96x = 6,188,084,412.05
  5. Step 5: Solve for x
    x = 6,188,084,412.05/98,249.96
  6. Step 6: Final answer
    x = 62,983.07

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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.