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Finding the Fourth Proportional to 358,726.49, 538,165.64 and 118,826.82

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Solution

The fourth proportional to 358,726.49, 538,165.64 and 118,826.82 is: 178,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,726.49 : 538,165.64 = 118,826.82 : x
  2. Step 2: Convert to fraction form
    358,726.49/538,165.64 = 118,826.82/x
  3. Step 3: Cross multiply
    358,726.49x = 538,165.64 × 118,826.82
  4. Step 4: Simplify right side
    358,726.49x = 63,948,511,040.33
  5. Step 5: Solve for x
    x = 63,948,511,040.33/358,726.49
  6. Step 6: Final answer
    x = 178,265.37

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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.