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Finding the Fourth Proportional to 125,215.46, 187,854 and 36,469.80

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Solution

The fourth proportional to 125,215.46, 187,854 and 36,469.80 is: 54,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,215.46 : 187,854 = 36,469.80 : x
  2. Step 2: Convert to fraction form
    125,215.46/187,854 = 36,469.80/x
  3. Step 3: Cross multiply
    125,215.46x = 187,854 × 36,469.80
  4. Step 4: Simplify right side
    125,215.46x = 6,850,997,809.20
  5. Step 5: Solve for x
    x = 6,850,997,809.20/125,215.46
  6. Step 6: Final answer
    x = 54,713.67

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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.