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Finding the Fourth Proportional to 105,511.65, 158,269.16 and 34,434.01

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Solution

The fourth proportional to 105,511.65, 158,269.16 and 34,434.01 is: 51,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,511.65 : 158,269.16 = 34,434.01 : x
  2. Step 2: Convert to fraction form
    105,511.65/158,269.16 = 34,434.01/x
  3. Step 3: Cross multiply
    105,511.65x = 158,269.16 × 34,434.01
  4. Step 4: Simplify right side
    105,511.65x = 5,449,841,838.13
  5. Step 5: Solve for x
    x = 5,449,841,838.13/105,511.65
  6. Step 6: Final answer
    x = 51,651.56

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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.