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Finding the Fourth Proportional to 144,286.12, 216,441.44 and 37,684.20

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Solution

The fourth proportional to 144,286.12, 216,441.44 and 37,684.20 is: 56,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,286.12 : 216,441.44 = 37,684.20 : x
  2. Step 2: Convert to fraction form
    144,286.12/216,441.44 = 37,684.20/x
  3. Step 3: Cross multiply
    144,286.12x = 216,441.44 × 37,684.20
  4. Step 4: Simplify right side
    144,286.12x = 8,156,422,513.25
  5. Step 5: Solve for x
    x = 8,156,422,513.25/144,286.12
  6. Step 6: Final answer
    x = 56,529.50

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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.