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Finding the Fourth Proportional to 117,643.20, 176,464.80 and 67,723.20

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Solution

The fourth proportional to 117,643.20, 176,464.80 and 67,723.20 is: 101,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.20 : 176,464.80 = 67,723.20 : x
  2. Step 2: Convert to fraction form
    117,643.20/176,464.80 = 67,723.20/x
  3. Step 3: Cross multiply
    117,643.20x = 176,464.80 × 67,723.20
  4. Step 4: Simplify right side
    117,643.20x = 11,950,760,943.36
  5. Step 5: Solve for x
    x = 11,950,760,943.36/117,643.20
  6. Step 6: Final answer
    x = 101,584.80

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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.