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Finding the Fourth Proportional to 207,814.58, 311,227.06 and 132,702.06

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Solution

The fourth proportional to 207,814.58, 311,227.06 and 132,702.06 is: 198,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,814.58 : 311,227.06 = 132,702.06 : x
  2. Step 2: Convert to fraction form
    207,814.58/311,227.06 = 132,702.06/x
  3. Step 3: Cross multiply
    207,814.58x = 311,227.06 × 132,702.06
  4. Step 4: Simplify right side
    207,814.58x = 41,300,471,326.23
  5. Step 5: Solve for x
    x = 41,300,471,326.23/207,814.58
  6. Step 6: Final answer
    x = 198,737.13

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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.