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Finding the Fourth Proportional to 268,076.88, 369,965.16 and 177,275.16

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Solution

The fourth proportional to 268,076.88, 369,965.16 and 177,275.16 is: 244,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,076.88 : 369,965.16 = 177,275.16 : x
  2. Step 2: Convert to fraction form
    268,076.88/369,965.16 = 177,275.16/x
  3. Step 3: Cross multiply
    268,076.88x = 369,965.16 × 177,275.16
  4. Step 4: Simplify right side
    268,076.88x = 65,585,632,933.43
  5. Step 5: Solve for x
    x = 65,585,632,933.43/268,076.88
  6. Step 6: Final answer
    x = 244,652.33

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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.