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Finding the Fourth Proportional to 96,633.20, 144,949.80 and 61,203.80

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Solution

The fourth proportional to 96,633.20, 144,949.80 and 61,203.80 is: 91,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,633.20 : 144,949.80 = 61,203.80 : x
  2. Step 2: Convert to fraction form
    96,633.20/144,949.80 = 61,203.80/x
  3. Step 3: Cross multiply
    96,633.20x = 144,949.80 × 61,203.80
  4. Step 4: Simplify right side
    96,633.20x = 8,871,478,569.24
  5. Step 5: Solve for x
    x = 8,871,478,569.24/96,633.20
  6. Step 6: Final answer
    x = 91,805.70

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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.