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Finding the Fourth Proportional to 96,686.40, 145,418.40 and 86,577.60

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Solution

The fourth proportional to 96,686.40, 145,418.40 and 86,577.60 is: 130,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,686.40 : 145,418.40 = 86,577.60 : x
  2. Step 2: Convert to fraction form
    96,686.40/145,418.40 = 86,577.60/x
  3. Step 3: Cross multiply
    96,686.40x = 145,418.40 × 86,577.60
  4. Step 4: Simplify right side
    96,686.40x = 12,589,976,067.84
  5. Step 5: Solve for x
    x = 12,589,976,067.84/96,686.40
  6. Step 6: Final answer
    x = 130,214.55

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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.