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Finding the Fourth Proportional to 195,550, 269,862.24 and 106,126

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Solution

The fourth proportional to 195,550, 269,862.24 and 106,126 is: 146,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,550 : 269,862.24 = 106,126 : x
  2. Step 2: Convert to fraction form
    195,550/269,862.24 = 106,126/x
  3. Step 3: Cross multiply
    195,550x = 269,862.24 × 106,126
  4. Step 4: Simplify right side
    195,550x = 28,639,400,082.24
  5. Step 5: Solve for x
    x = 28,639,400,082.24/195,550
  6. Step 6: Final answer
    x = 146,455.64

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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.