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Finding the Fourth Proportional to 108,098, 162,147.72 and 34,226

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Solution

The fourth proportional to 108,098, 162,147.72 and 34,226 is: 51,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,098 : 162,147.72 = 34,226 : x
  2. Step 2: Convert to fraction form
    108,098/162,147.72 = 34,226/x
  3. Step 3: Cross multiply
    108,098x = 162,147.72 × 34,226
  4. Step 4: Simplify right side
    108,098x = 5,549,667,864.72
  5. Step 5: Solve for x
    x = 5,549,667,864.72/108,098
  6. Step 6: Final answer
    x = 51,339.23

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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.