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Finding the Fourth Proportional to 98,249.64, 147,251.20 and 42,023.76

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Solution

The fourth proportional to 98,249.64, 147,251.20 and 42,023.76 is: 62,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,249.64 : 147,251.20 = 42,023.76 : x
  2. Step 2: Convert to fraction form
    98,249.64/147,251.20 = 42,023.76/x
  3. Step 3: Cross multiply
    98,249.64x = 147,251.20 × 42,023.76
  4. Step 4: Simplify right side
    98,249.64x = 6,188,049,088.51
  5. Step 5: Solve for x
    x = 6,188,049,088.51/98,249.64
  6. Step 6: Final answer
    x = 62,982.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.