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Finding the Fourth Proportional to 98,114.96, 147,197.28 and 27,994.52

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Solution

The fourth proportional to 98,114.96, 147,197.28 and 27,994.52 is: 41,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,114.96 : 147,197.28 = 27,994.52 : x
  2. Step 2: Convert to fraction form
    98,114.96/147,197.28 = 27,994.52/x
  3. Step 3: Cross multiply
    98,114.96x = 147,197.28 × 27,994.52
  4. Step 4: Simplify right side
    98,114.96x = 4,120,717,198.91
  5. Step 5: Solve for x
    x = 4,120,717,198.91/98,114.96
  6. Step 6: Final answer
    x = 41,998.87

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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.