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Finding the Fourth Proportional to 204,767.76, 282,602.46 and 114,132

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Solution

The fourth proportional to 204,767.76, 282,602.46 and 114,132 is: 157,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,767.76 : 282,602.46 = 114,132 : x
  2. Step 2: Convert to fraction form
    204,767.76/282,602.46 = 114,132/x
  3. Step 3: Cross multiply
    204,767.76x = 282,602.46 × 114,132
  4. Step 4: Simplify right side
    204,767.76x = 32,253,983,964.72
  5. Step 5: Solve for x
    x = 32,253,983,964.72/204,767.76
  6. Step 6: Final answer
    x = 157,514.95

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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.