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Finding the Fourth Proportional to 268,089.44, 369,963.88 and 147,238.52

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Solution

The fourth proportional to 268,089.44, 369,963.88 and 147,238.52 is: 203,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,089.44 : 369,963.88 = 147,238.52 : x
  2. Step 2: Convert to fraction form
    268,089.44/369,963.88 = 147,238.52/x
  3. Step 3: Cross multiply
    268,089.44x = 369,963.88 × 147,238.52
  4. Step 4: Simplify right side
    268,089.44x = 54,472,934,144.66
  5. Step 5: Solve for x
    x = 54,472,934,144.66/268,089.44
  6. Step 6: Final answer
    x = 203,189.41

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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.