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Finding the Fourth Proportional to 171,060.25, 256,823.07 and 96,233.06

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Solution

The fourth proportional to 171,060.25, 256,823.07 and 96,233.06 is: 144,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,060.25 : 256,823.07 = 96,233.06 : x
  2. Step 2: Convert to fraction form
    171,060.25/256,823.07 = 96,233.06/x
  3. Step 3: Cross multiply
    171,060.25x = 256,823.07 × 96,233.06
  4. Step 4: Simplify right side
    171,060.25x = 24,714,868,620.58
  5. Step 5: Solve for x
    x = 24,714,868,620.58/171,060.25
  6. Step 6: Final answer
    x = 144,480.49

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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.