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Finding the Fourth Proportional to 185,816.14, 256,425.14 and 100,932.46

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Solution

The fourth proportional to 185,816.14, 256,425.14 and 100,932.46 is: 139,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,816.14 : 256,425.14 = 100,932.46 : x
  2. Step 2: Convert to fraction form
    185,816.14/256,425.14 = 100,932.46/x
  3. Step 3: Cross multiply
    185,816.14x = 256,425.14 × 100,932.46
  4. Step 4: Simplify right side
    185,816.14x = 25,881,620,186.04
  5. Step 5: Solve for x
    x = 25,881,620,186.04/185,816.14
  6. Step 6: Final answer
    x = 139,286.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.