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Finding the Fourth Proportional to 140,702.46, 211,003.88 and 51,932.13

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Solution

The fourth proportional to 140,702.46, 211,003.88 and 51,932.13 is: 77,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,702.46 : 211,003.88 = 51,932.13 : x
  2. Step 2: Convert to fraction form
    140,702.46/211,003.88 = 51,932.13/x
  3. Step 3: Cross multiply
    140,702.46x = 211,003.88 × 51,932.13
  4. Step 4: Simplify right side
    140,702.46x = 10,957,880,667.00
  5. Step 5: Solve for x
    x = 10,957,880,667.00/140,702.46
  6. Step 6: Final answer
    x = 77,879.81

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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.