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Finding the Fourth Proportional to 171,282.30, 256,923.45 and 164,283.90

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Solution

The fourth proportional to 171,282.30, 256,923.45 and 164,283.90 is: 246,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,282.30 : 256,923.45 = 164,283.90 : x
  2. Step 2: Convert to fraction form
    171,282.30/256,923.45 = 164,283.90/x
  3. Step 3: Cross multiply
    171,282.30x = 256,923.45 × 164,283.90
  4. Step 4: Simplify right side
    171,282.30x = 42,208,386,367.46
  5. Step 5: Solve for x
    x = 42,208,386,367.46/171,282.30
  6. Step 6: Final answer
    x = 246,425.85

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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.