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Finding the Fourth Proportional to 295,301.10, 443,016.45 and 145,613.10

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Solution

The fourth proportional to 295,301.10, 443,016.45 and 145,613.10 is: 218,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,301.10 : 443,016.45 = 145,613.10 : x
  2. Step 2: Convert to fraction form
    295,301.10/443,016.45 = 145,613.10/x
  3. Step 3: Cross multiply
    295,301.10x = 443,016.45 × 145,613.10
  4. Step 4: Simplify right side
    295,301.10x = 64,508,998,635.50
  5. Step 5: Solve for x
    x = 64,508,998,635.50/295,301.10
  6. Step 6: Final answer
    x = 218,451.60

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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.