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Finding the Fourth Proportional to 144,014.17, 216,021.28 and 38,833.14

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Solution

The fourth proportional to 144,014.17, 216,021.28 and 38,833.14 is: 58,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,014.17 : 216,021.28 = 38,833.14 : x
  2. Step 2: Convert to fraction form
    144,014.17/216,021.28 = 38,833.14/x
  3. Step 3: Cross multiply
    144,014.17x = 216,021.28 × 38,833.14
  4. Step 4: Simplify right side
    144,014.17x = 8,388,784,609.22
  5. Step 5: Solve for x
    x = 8,388,784,609.22/144,014.17
  6. Step 6: Final answer
    x = 58,249.72

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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.