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Finding the Fourth Proportional to 96,952.28, 145,279.98 and 65,244.80

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Solution

The fourth proportional to 96,952.28, 145,279.98 and 65,244.80 is: 97,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,952.28 : 145,279.98 = 65,244.80 : x
  2. Step 2: Convert to fraction form
    96,952.28/145,279.98 = 65,244.80/x
  3. Step 3: Cross multiply
    96,952.28x = 145,279.98 × 65,244.80
  4. Step 4: Simplify right side
    96,952.28x = 9,478,763,239.10
  5. Step 5: Solve for x
    x = 9,478,763,239.10/96,952.28
  6. Step 6: Final answer
    x = 97,767.31

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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.