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Finding the Fourth Proportional to 132,702.75, 199,054.14 and 34,206.75

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Solution

The fourth proportional to 132,702.75, 199,054.14 and 34,206.75 is: 51,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,702.75 : 199,054.14 = 34,206.75 : x
  2. Step 2: Convert to fraction form
    132,702.75/199,054.14 = 34,206.75/x
  3. Step 3: Cross multiply
    132,702.75x = 199,054.14 × 34,206.75
  4. Step 4: Simplify right side
    132,702.75x = 6,808,995,203.45
  5. Step 5: Solve for x
    x = 6,808,995,203.45/132,702.75
  6. Step 6: Final answer
    x = 51,310.13

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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.