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Finding the Fourth Proportional to 171,712.80, 257,569.20 and 162,964.80

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Solution

The fourth proportional to 171,712.80, 257,569.20 and 162,964.80 is: 244,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,712.80 : 257,569.20 = 162,964.80 : x
  2. Step 2: Convert to fraction form
    171,712.80/257,569.20 = 162,964.80/x
  3. Step 3: Cross multiply
    171,712.80x = 257,569.20 × 162,964.80
  4. Step 4: Simplify right side
    171,712.80x = 41,974,713,164.16
  5. Step 5: Solve for x
    x = 41,974,713,164.16/171,712.80
  6. Step 6: Final answer
    x = 244,447.20

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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.