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Finding the Fourth Proportional to 125,422.14, 188,152.11 and 36,664.50

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Solution

The fourth proportional to 125,422.14, 188,152.11 and 36,664.50 is: 55,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,422.14 : 188,152.11 = 36,664.50 : x
  2. Step 2: Convert to fraction form
    125,422.14/188,152.11 = 36,664.50/x
  3. Step 3: Cross multiply
    125,422.14x = 188,152.11 × 36,664.50
  4. Step 4: Simplify right side
    125,422.14x = 6,898,503,037.10
  5. Step 5: Solve for x
    x = 6,898,503,037.10/125,422.14
  6. Step 6: Final answer
    x = 55,002.28

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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.