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Finding the Fourth Proportional to 287,908.80, 431,863.20 and 147,940.80

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Solution

The fourth proportional to 287,908.80, 431,863.20 and 147,940.80 is: 221,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,908.80 : 431,863.20 = 147,940.80 : x
  2. Step 2: Convert to fraction form
    287,908.80/431,863.20 = 147,940.80/x
  3. Step 3: Cross multiply
    287,908.80x = 431,863.20 × 147,940.80
  4. Step 4: Simplify right side
    287,908.80x = 63,890,187,298.56
  5. Step 5: Solve for x
    x = 63,890,187,298.56/287,908.80
  6. Step 6: Final answer
    x = 221,911.20

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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.