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Finding the Fourth Proportional to 150,702.75, 207,969.80 and 83,634.75

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Solution

The fourth proportional to 150,702.75, 207,969.80 and 83,634.75 is: 115,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,702.75 : 207,969.80 = 83,634.75 : x
  2. Step 2: Convert to fraction form
    150,702.75/207,969.80 = 83,634.75/x
  3. Step 3: Cross multiply
    150,702.75x = 207,969.80 × 83,634.75
  4. Step 4: Simplify right side
    150,702.75x = 17,393,501,812.38
  5. Step 5: Solve for x
    x = 17,393,501,812.38/150,702.75
  6. Step 6: Final answer
    x = 115,415.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.