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Finding the Fourth Proportional to 171,056.80, 256,585.20 and 164,058.40

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Solution

The fourth proportional to 171,056.80, 256,585.20 and 164,058.40 is: 246,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,056.80 : 256,585.20 = 164,058.40 : x
  2. Step 2: Convert to fraction form
    171,056.80/256,585.20 = 164,058.40/x
  3. Step 3: Cross multiply
    171,056.80x = 256,585.20 × 164,058.40
  4. Step 4: Simplify right side
    171,056.80x = 42,094,957,375.68
  5. Step 5: Solve for x
    x = 42,094,957,375.68/171,056.80
  6. Step 6: Final answer
    x = 246,087.60

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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.