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Finding the Fourth Proportional to 185,411.92, 277,895.40 and 85,434.88

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Solution

The fourth proportional to 185,411.92, 277,895.40 and 85,434.88 is: 128,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,411.92 : 277,895.40 = 85,434.88 : x
  2. Step 2: Convert to fraction form
    185,411.92/277,895.40 = 85,434.88/x
  3. Step 3: Cross multiply
    185,411.92x = 277,895.40 × 85,434.88
  4. Step 4: Simplify right side
    185,411.92x = 23,741,960,151.55
  5. Step 5: Solve for x
    x = 23,741,960,151.55/185,411.92
  6. Step 6: Final answer
    x = 128,049.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.