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Finding the Fourth Proportional to 182,177.88, 251,427.41 and 106,726.38

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Solution

The fourth proportional to 182,177.88, 251,427.41 and 106,726.38 is: 147,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,177.88 : 251,427.41 = 106,726.38 : x
  2. Step 2: Convert to fraction form
    182,177.88/251,427.41 = 106,726.38/x
  3. Step 3: Cross multiply
    182,177.88x = 251,427.41 × 106,726.38
  4. Step 4: Simplify right side
    182,177.88x = 26,833,937,302.08
  5. Step 5: Solve for x
    x = 26,833,937,302.08/182,177.88
  6. Step 6: Final answer
    x = 147,295.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.