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Finding the Fourth Proportional to 195,627.66, 269,962.11 and 106,203.66

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Solution

The fourth proportional to 195,627.66, 269,962.11 and 106,203.66 is: 146,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,627.66 : 269,962.11 = 106,203.66 : x
  2. Step 2: Convert to fraction form
    195,627.66/269,962.11 = 106,203.66/x
  3. Step 3: Cross multiply
    195,627.66x = 269,962.11 × 106,203.66
  4. Step 4: Simplify right side
    195,627.66x = 28,670,964,143.32
  5. Step 5: Solve for x
    x = 28,670,964,143.32/195,627.66
  6. Step 6: Final answer
    x = 146,558.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.