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Finding the Fourth Proportional to 159,296.30, 238,810.50 and 106,544.78

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Solution

The fourth proportional to 159,296.30, 238,810.50 and 106,544.78 is: 159,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,296.30 : 238,810.50 = 106,544.78 : x
  2. Step 2: Convert to fraction form
    159,296.30/238,810.50 = 106,544.78/x
  3. Step 3: Cross multiply
    159,296.30x = 238,810.50 × 106,544.78
  4. Step 4: Simplify right side
    159,296.30x = 25,444,012,184.19
  5. Step 5: Solve for x
    x = 25,444,012,184.19/159,296.30
  6. Step 6: Final answer
    x = 159,727.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.