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Finding the Fourth Proportional to 125,668.44, 188,462.66 and 41,412.90

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Solution

The fourth proportional to 125,668.44, 188,462.66 and 41,412.90 is: 62,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,668.44 : 188,462.66 = 41,412.90 : x
  2. Step 2: Convert to fraction form
    125,668.44/188,462.66 = 41,412.90/x
  3. Step 3: Cross multiply
    125,668.44x = 188,462.66 × 41,412.90
  4. Step 4: Simplify right side
    125,668.44x = 7,804,785,292.31
  5. Step 5: Solve for x
    x = 7,804,785,292.31/125,668.44
  6. Step 6: Final answer
    x = 62,106.17

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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.