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Finding the Fourth Proportional to 144,689.14, 217,021.20 and 44,847.10

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Solution

The fourth proportional to 144,689.14, 217,021.20 and 44,847.10 is: 67,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,689.14 : 217,021.20 = 44,847.10 : x
  2. Step 2: Convert to fraction form
    144,689.14/217,021.20 = 44,847.10/x
  3. Step 3: Cross multiply
    144,689.14x = 217,021.20 × 44,847.10
  4. Step 4: Simplify right side
    144,689.14x = 9,732,771,458.52
  5. Step 5: Solve for x
    x = 9,732,771,458.52/144,689.14
  6. Step 6: Final answer
    x = 67,266.77

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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.