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Finding the Fourth Proportional to 119,726.51, 179,468.49 and 77,633.29

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Solution

The fourth proportional to 119,726.51, 179,468.49 and 77,633.29 is: 116,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,726.51 : 179,468.49 = 77,633.29 : x
  2. Step 2: Convert to fraction form
    119,726.51/179,468.49 = 77,633.29/x
  3. Step 3: Cross multiply
    119,726.51x = 179,468.49 × 77,633.29
  4. Step 4: Simplify right side
    119,726.51x = 13,932,729,330.03
  5. Step 5: Solve for x
    x = 13,932,729,330.03/119,726.51
  6. Step 6: Final answer
    x = 116,371.30

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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.