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Finding the Fourth Proportional to 185,306.33, 277,959.47 and 45,064.96

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Solution

The fourth proportional to 185,306.33, 277,959.47 and 45,064.96 is: 67,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,306.33 : 277,959.47 = 45,064.96 : x
  2. Step 2: Convert to fraction form
    185,306.33/277,959.47 = 45,064.96/x
  3. Step 3: Cross multiply
    185,306.33x = 277,959.47 × 45,064.96
  4. Step 4: Simplify right side
    185,306.33x = 12,526,231,476.95
  5. Step 5: Solve for x
    x = 12,526,231,476.95/185,306.33
  6. Step 6: Final answer
    x = 67,597.43

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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.