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Finding the Fourth Proportional to 144,643.20, 216,964.80 and 109,651.20

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Solution

The fourth proportional to 144,643.20, 216,964.80 and 109,651.20 is: 164,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,643.20 : 216,964.80 = 109,651.20 : x
  2. Step 2: Convert to fraction form
    144,643.20/216,964.80 = 109,651.20/x
  3. Step 3: Cross multiply
    144,643.20x = 216,964.80 × 109,651.20
  4. Step 4: Simplify right side
    144,643.20x = 23,790,450,677.76
  5. Step 5: Solve for x
    x = 23,790,450,677.76/144,643.20
  6. Step 6: Final answer
    x = 164,476.80

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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.