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Finding the Fourth Proportional to 261,760.32, 360,797.92 and 185,180.48

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Solution

The fourth proportional to 261,760.32, 360,797.92 and 185,180.48 is: 255,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,760.32 : 360,797.92 = 185,180.48 : x
  2. Step 2: Convert to fraction form
    261,760.32/360,797.92 = 185,180.48/x
  3. Step 3: Cross multiply
    261,760.32x = 360,797.92 × 185,180.48
  4. Step 4: Simplify right side
    261,760.32x = 66,812,732,008.60
  5. Step 5: Solve for x
    x = 66,812,732,008.60/261,760.32
  6. Step 6: Final answer
    x = 255,243.93

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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.