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Finding the Fourth Proportional to 161,369.59, 241,832.94 and 102,099.16

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Solution

The fourth proportional to 161,369.59, 241,832.94 and 102,099.16 is: 153,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,369.59 : 241,832.94 = 102,099.16 : x
  2. Step 2: Convert to fraction form
    161,369.59/241,832.94 = 102,099.16/x
  3. Step 3: Cross multiply
    161,369.59x = 241,832.94 × 102,099.16
  4. Step 4: Simplify right side
    161,369.59x = 24,690,939,167.75
  5. Step 5: Solve for x
    x = 24,690,939,167.75/161,369.59
  6. Step 6: Final answer
    x = 153,008.63

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Why These Related Problems?

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