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Finding the Fourth Proportional to 109,943.30, 164,702.73 and 65,605.52

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Solution

The fourth proportional to 109,943.30, 164,702.73 and 65,605.52 is: 98,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,943.30 : 164,702.73 = 65,605.52 : x
  2. Step 2: Convert to fraction form
    109,943.30/164,702.73 = 65,605.52/x
  3. Step 3: Cross multiply
    109,943.30x = 164,702.73 × 65,605.52
  4. Step 4: Simplify right side
    109,943.30x = 10,805,408,247.07
  5. Step 5: Solve for x
    x = 10,805,408,247.07/109,943.30
  6. Step 6: Final answer
    x = 98,281.64

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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.