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Finding the Fourth Proportional to 123,357.41, 185,109.94 and 113,319.08

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Solution

The fourth proportional to 123,357.41, 185,109.94 and 113,319.08 is: 170,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,357.41 : 185,109.94 = 113,319.08 : x
  2. Step 2: Convert to fraction form
    123,357.41/185,109.94 = 113,319.08/x
  3. Step 3: Cross multiply
    123,357.41x = 185,109.94 × 113,319.08
  4. Step 4: Simplify right side
    123,357.41x = 20,976,488,421.66
  5. Step 5: Solve for x
    x = 20,976,488,421.66/123,357.41
  6. Step 6: Final answer
    x = 170,046.44

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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.