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Finding the Fourth Proportional to 295,760.88, 443,937.24 and 138,100.32

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Solution

The fourth proportional to 295,760.88, 443,937.24 and 138,100.32 is: 207,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,760.88 : 443,937.24 = 138,100.32 : x
  2. Step 2: Convert to fraction form
    295,760.88/443,937.24 = 138,100.32/x
  3. Step 3: Cross multiply
    295,760.88x = 443,937.24 × 138,100.32
  4. Step 4: Simplify right side
    295,760.88x = 61,307,874,903.92
  5. Step 5: Solve for x
    x = 61,307,874,903.92/295,760.88
  6. Step 6: Final answer
    x = 207,288.65

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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.