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Finding the Fourth Proportional to 109,702.30, 164,553.45 and 91,987.60

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Solution

The fourth proportional to 109,702.30, 164,553.45 and 91,987.60 is: 137,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,702.30 : 164,553.45 = 91,987.60 : x
  2. Step 2: Convert to fraction form
    109,702.30/164,553.45 = 91,987.60/x
  3. Step 3: Cross multiply
    109,702.30x = 164,553.45 × 91,987.60
  4. Step 4: Simplify right side
    109,702.30x = 15,136,876,937.22
  5. Step 5: Solve for x
    x = 15,136,876,937.22/109,702.30
  6. Step 6: Final answer
    x = 137,981.40

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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.