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Finding the Fourth Proportional to 144,919.20, 217,378.80 and 109,927.20

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Solution

The fourth proportional to 144,919.20, 217,378.80 and 109,927.20 is: 164,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,919.20 : 217,378.80 = 109,927.20 : x
  2. Step 2: Convert to fraction form
    144,919.20/217,378.80 = 109,927.20/x
  3. Step 3: Cross multiply
    144,919.20x = 217,378.80 × 109,927.20
  4. Step 4: Simplify right side
    144,919.20x = 23,895,842,823.36
  5. Step 5: Solve for x
    x = 23,895,842,823.36/144,919.20
  6. Step 6: Final answer
    x = 164,890.80

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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.