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Finding the Fourth Proportional to 105,405.30, 158,098.23 and 35,285.22

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Solution

The fourth proportional to 105,405.30, 158,098.23 and 35,285.22 is: 52,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,405.30 : 158,098.23 = 35,285.22 : x
  2. Step 2: Convert to fraction form
    105,405.30/158,098.23 = 35,285.22/x
  3. Step 3: Cross multiply
    105,405.30x = 158,098.23 × 35,285.22
  4. Step 4: Simplify right side
    105,405.30x = 5,578,530,827.16
  5. Step 5: Solve for x
    x = 5,578,530,827.16/105,405.30
  6. Step 6: Final answer
    x = 52,924.58

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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.