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Finding the Fourth Proportional to 133,702.17, 200,418.24 and 83,817.30

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Solution

The fourth proportional to 133,702.17, 200,418.24 and 83,817.30 is: 125,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,702.17 : 200,418.24 = 83,817.30 : x
  2. Step 2: Convert to fraction form
    133,702.17/200,418.24 = 83,817.30/x
  3. Step 3: Cross multiply
    133,702.17x = 200,418.24 × 83,817.30
  4. Step 4: Simplify right side
    133,702.17x = 16,798,515,747.55
  5. Step 5: Solve for x
    x = 16,798,515,747.55/133,702.17
  6. Step 6: Final answer
    x = 125,641.31

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1.5x scale

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.