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Finding the Fourth Proportional to 295,734.36, 443,728.62 and 96,115.92

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Solution

The fourth proportional to 295,734.36, 443,728.62 and 96,115.92 is: 144,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,734.36 : 443,728.62 = 96,115.92 : x
  2. Step 2: Convert to fraction form
    295,734.36/443,728.62 = 96,115.92/x
  3. Step 3: Cross multiply
    295,734.36x = 443,728.62 × 96,115.92
  4. Step 4: Simplify right side
    295,734.36x = 42,649,384,541.63
  5. Step 5: Solve for x
    x = 42,649,384,541.63/295,734.36
  6. Step 6: Final answer
    x = 144,215.18

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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.