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Finding the Fourth Proportional to 188,774.19, 260,470.62 and 108,226.98

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Solution

The fourth proportional to 188,774.19, 260,470.62 and 108,226.98 is: 149,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,774.19 : 260,470.62 = 108,226.98 : x
  2. Step 2: Convert to fraction form
    188,774.19/260,470.62 = 108,226.98/x
  3. Step 3: Cross multiply
    188,774.19x = 260,470.62 × 108,226.98
  4. Step 4: Simplify right side
    188,774.19x = 28,189,948,581.33
  5. Step 5: Solve for x
    x = 28,189,948,581.33/188,774.19
  6. Step 6: Final answer
    x = 149,331.58

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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.