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Finding the Fourth Proportional to 242,728.14, 334,976.17 and 135,298.95

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Solution

The fourth proportional to 242,728.14, 334,976.17 and 135,298.95 is: 186,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,728.14 : 334,976.17 = 135,298.95 : x
  2. Step 2: Convert to fraction form
    242,728.14/334,976.17 = 135,298.95/x
  3. Step 3: Cross multiply
    242,728.14x = 334,976.17 × 135,298.95
  4. Step 4: Simplify right side
    242,728.14x = 45,321,924,076.02
  5. Step 5: Solve for x
    x = 45,321,924,076.02/242,728.14
  6. Step 6: Final answer
    x = 186,718.87

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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.