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Finding the Fourth Proportional to 298,101.12, 447,195.96 and 98,442.56

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Solution

The fourth proportional to 298,101.12, 447,195.96 and 98,442.56 is: 147,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,101.12 : 447,195.96 = 98,442.56 : x
  2. Step 2: Convert to fraction form
    298,101.12/447,195.96 = 98,442.56/x
  3. Step 3: Cross multiply
    298,101.12x = 447,195.96 × 98,442.56
  4. Step 4: Simplify right side
    298,101.12x = 44,023,115,124.06
  5. Step 5: Solve for x
    x = 44,023,115,124.06/298,101.12
  6. Step 6: Final answer
    x = 147,678.46

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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.