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Finding the Fourth Proportional to 381,719.16, 572,608.77 and 101,236.41

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Solution

The fourth proportional to 381,719.16, 572,608.77 and 101,236.41 is: 151,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,719.16 : 572,608.77 = 101,236.41 : x
  2. Step 2: Convert to fraction form
    381,719.16/572,608.77 = 101,236.41/x
  3. Step 3: Cross multiply
    381,719.16x = 572,608.77 × 101,236.41
  4. Step 4: Simplify right side
    381,719.16x = 57,968,856,209.32
  5. Step 5: Solve for x
    x = 57,968,856,209.32/381,719.16
  6. Step 6: Final answer
    x = 151,862.58

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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.