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Finding the Fourth Proportional to 96,806.20, 145,209.30 and 81,254.20

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Solution

The fourth proportional to 96,806.20, 145,209.30 and 81,254.20 is: 121,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,806.20 : 145,209.30 = 81,254.20 : x
  2. Step 2: Convert to fraction form
    96,806.20/145,209.30 = 81,254.20/x
  3. Step 3: Cross multiply
    96,806.20x = 145,209.30 × 81,254.20
  4. Step 4: Simplify right side
    96,806.20x = 11,798,865,504.06
  5. Step 5: Solve for x
    x = 11,798,865,504.06/96,806.20
  6. Step 6: Final answer
    x = 121,881.30

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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.