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Finding the Fourth Proportional to 265,231.65, 366,029.37 and 144,367.10

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Solution

The fourth proportional to 265,231.65, 366,029.37 and 144,367.10 is: 199,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,231.65 : 366,029.37 = 144,367.10 : x
  2. Step 2: Convert to fraction form
    265,231.65/366,029.37 = 144,367.10/x
  3. Step 3: Cross multiply
    265,231.65x = 366,029.37 × 144,367.10
  4. Step 4: Simplify right side
    265,231.65x = 52,842,596,831.58
  5. Step 5: Solve for x
    x = 52,842,596,831.58/265,231.65
  6. Step 6: Final answer
    x = 199,231.87

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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.