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Finding the Fourth Proportional to 298,856.30, 448,404.60 and 121,377.20

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Solution

The fourth proportional to 298,856.30, 448,404.60 and 121,377.20 is: 182,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,856.30 : 448,404.60 = 121,377.20 : x
  2. Step 2: Convert to fraction form
    298,856.30/448,404.60 = 121,377.20/x
  3. Step 3: Cross multiply
    298,856.30x = 448,404.60 × 121,377.20
  4. Step 4: Simplify right side
    298,856.30x = 54,426,094,815.12
  5. Step 5: Solve for x
    x = 54,426,094,815.12/298,856.30
  6. Step 6: Final answer
    x = 182,114.60

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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.