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Finding the Fourth Proportional to 96,406.98, 144,422.13 and 66,415.92

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Solution

The fourth proportional to 96,406.98, 144,422.13 and 66,415.92 is: 99,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,406.98 : 144,422.13 = 66,415.92 : x
  2. Step 2: Convert to fraction form
    96,406.98/144,422.13 = 66,415.92/x
  3. Step 3: Cross multiply
    96,406.98x = 144,422.13 × 66,415.92
  4. Step 4: Simplify right side
    96,406.98x = 9,591,928,632.31
  5. Step 5: Solve for x
    x = 9,591,928,632.31/96,406.98
  6. Step 6: Final answer
    x = 99,494.13

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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.