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Finding the Fourth Proportional to 295,808.10, 443,201.85 and 137,712.30

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Solution

The fourth proportional to 295,808.10, 443,201.85 and 137,712.30 is: 206,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,808.10 : 443,201.85 = 137,712.30 : x
  2. Step 2: Convert to fraction form
    295,808.10/443,201.85 = 137,712.30/x
  3. Step 3: Cross multiply
    295,808.10x = 443,201.85 × 137,712.30
  4. Step 4: Simplify right side
    295,808.10x = 61,034,346,127.76
  5. Step 5: Solve for x
    x = 61,034,346,127.76/295,808.10
  6. Step 6: Final answer
    x = 206,330.88

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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.