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Finding the Fourth Proportional to 180,658.88, 248,907.80 and 119,296.10

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Solution

The fourth proportional to 180,658.88, 248,907.80 and 119,296.10 is: 164,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,658.88 : 248,907.80 = 119,296.10 : x
  2. Step 2: Convert to fraction form
    180,658.88/248,907.80 = 119,296.10/x
  3. Step 3: Cross multiply
    180,658.88x = 248,907.80 × 119,296.10
  4. Step 4: Simplify right side
    180,658.88x = 29,693,729,799.58
  5. Step 5: Solve for x
    x = 29,693,729,799.58/180,658.88
  6. Step 6: Final answer
    x = 164,363.52

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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.