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Finding the Fourth Proportional to 106,269.30, 159,264.36 and 50,033.16

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Solution

The fourth proportional to 106,269.30, 159,264.36 and 50,033.16 is: 74,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,269.30 : 159,264.36 = 50,033.16 : x
  2. Step 2: Convert to fraction form
    106,269.30/159,264.36 = 50,033.16/x
  3. Step 3: Cross multiply
    106,269.30x = 159,264.36 × 50,033.16
  4. Step 4: Simplify right side
    106,269.30x = 7,968,499,206.18
  5. Step 5: Solve for x
    x = 7,968,499,206.18/106,269.30
  6. Step 6: Final answer
    x = 74,984.02

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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.