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Finding the Fourth Proportional to 144,069.62, 216,057.71 and 47,981.25

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Solution

The fourth proportional to 144,069.62, 216,057.71 and 47,981.25 is: 71,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,069.62 : 216,057.71 = 47,981.25 : x
  2. Step 2: Convert to fraction form
    144,069.62/216,057.71 = 47,981.25/x
  3. Step 3: Cross multiply
    144,069.62x = 216,057.71 × 47,981.25
  4. Step 4: Simplify right side
    144,069.62x = 10,366,718,997.94
  5. Step 5: Solve for x
    x = 10,366,718,997.94/144,069.62
  6. Step 6: Final answer
    x = 71,956.32

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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.