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Finding the Fourth Proportional to 185,700.27, 256,266.27 and 100,817.40

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Solution

The fourth proportional to 185,700.27, 256,266.27 and 100,817.40 is: 139,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,700.27 : 256,266.27 = 100,817.40 : x
  2. Step 2: Convert to fraction form
    185,700.27/256,266.27 = 100,817.40/x
  3. Step 3: Cross multiply
    185,700.27x = 256,266.27 × 100,817.40
  4. Step 4: Simplify right side
    185,700.27x = 25,836,099,049.10
  5. Step 5: Solve for x
    x = 25,836,099,049.10/185,700.27
  6. Step 6: Final answer
    x = 139,127.96

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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.