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Finding the Fourth Proportional to 127,702.62, 191,553.81 and 34,205.82

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Solution

The fourth proportional to 127,702.62, 191,553.81 and 34,205.82 is: 51,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,702.62 : 191,553.81 = 34,205.82 : x
  2. Step 2: Convert to fraction form
    127,702.62/191,553.81 = 34,205.82/x
  3. Step 3: Cross multiply
    127,702.62x = 191,553.81 × 34,205.82
  4. Step 4: Simplify right side
    127,702.62x = 6,552,255,145.17
  5. Step 5: Solve for x
    x = 6,552,255,145.17/127,702.62
  6. Step 6: Final answer
    x = 51,308.70

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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.