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Finding the Fourth Proportional to 185,147.66, 277,498.13 and 85,170.71

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Solution

The fourth proportional to 185,147.66, 277,498.13 and 85,170.71 is: 127,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,147.66 : 277,498.13 = 85,170.71 : x
  2. Step 2: Convert to fraction form
    185,147.66/277,498.13 = 85,170.71/x
  3. Step 3: Cross multiply
    185,147.66x = 277,498.13 × 85,170.71
  4. Step 4: Simplify right side
    185,147.66x = 23,634,710,942.43
  5. Step 5: Solve for x
    x = 23,634,710,942.43/185,147.66
  6. Step 6: Final answer
    x = 127,653.31

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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.