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Finding the Fourth Proportional to 195,948, 270,410.16 and 106,525.92

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Solution

The fourth proportional to 195,948, 270,410.16 and 106,525.92 is: 147,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,948 : 270,410.16 = 106,525.92 : x
  2. Step 2: Convert to fraction form
    195,948/270,410.16 = 106,525.92/x
  3. Step 3: Cross multiply
    195,948x = 270,410.16 × 106,525.92
  4. Step 4: Simplify right side
    195,948x = 28,805,691,071.35
  5. Step 5: Solve for x
    x = 28,805,691,071.35/195,948
  6. Step 6: Final answer
    x = 147,006.81

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