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Finding the Fourth Proportional to 125,417.96, 188,046.88 and 82,674.01

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Solution

The fourth proportional to 125,417.96, 188,046.88 and 82,674.01 is: 123,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,417.96 : 188,046.88 = 82,674.01 : x
  2. Step 2: Convert to fraction form
    125,417.96/188,046.88 = 82,674.01/x
  3. Step 3: Cross multiply
    125,417.96x = 188,046.88 × 82,674.01
  4. Step 4: Simplify right side
    125,417.96x = 15,546,588,960.79
  5. Step 5: Solve for x
    x = 15,546,588,960.79/125,417.96
  6. Step 6: Final answer
    x = 123,958.23

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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.