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Finding the Fourth Proportional to 298,812.10, 448,218.15 and 109,272.10

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Solution

The fourth proportional to 298,812.10, 448,218.15 and 109,272.10 is: 163,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812.10 : 448,218.15 = 109,272.10 : x
  2. Step 2: Convert to fraction form
    298,812.10/448,218.15 = 109,272.10/x
  3. Step 3: Cross multiply
    298,812.10x = 448,218.15 × 109,272.10
  4. Step 4: Simplify right side
    298,812.10x = 48,977,738,508.62
  5. Step 5: Solve for x
    x = 48,977,738,508.62/298,812.10
  6. Step 6: Final answer
    x = 163,908.15

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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.