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Finding the Fourth Proportional to 204,060.52, 281,602.02 and 114,636.52

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Solution

The fourth proportional to 204,060.52, 281,602.02 and 114,636.52 is: 158,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,060.52 : 281,602.02 = 114,636.52 : x
  2. Step 2: Convert to fraction form
    204,060.52/281,602.02 = 114,636.52/x
  3. Step 3: Cross multiply
    204,060.52x = 281,602.02 × 114,636.52
  4. Step 4: Simplify right side
    204,060.52x = 32,281,875,597.77
  5. Step 5: Solve for x
    x = 32,281,875,597.77/204,060.52
  6. Step 6: Final answer
    x = 158,197.56

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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.