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Finding the Fourth Proportional to 265,937.02, 366,964.78 and 149,648.46

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Solution

The fourth proportional to 265,937.02, 366,964.78 and 149,648.46 is: 206,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,937.02 : 366,964.78 = 149,648.46 : x
  2. Step 2: Convert to fraction form
    265,937.02/366,964.78 = 149,648.46/x
  3. Step 3: Cross multiply
    265,937.02x = 366,964.78 × 149,648.46
  4. Step 4: Simplify right side
    265,937.02x = 54,915,714,201.24
  5. Step 5: Solve for x
    x = 54,915,714,201.24/265,937.02
  6. Step 6: Final answer
    x = 206,498.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.