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Finding the Fourth Proportional to 161,998.52, 243,007.32 and 49,679.88

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Solution

The fourth proportional to 161,998.52, 243,007.32 and 49,679.88 is: 74,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,998.52 : 243,007.32 = 49,679.88 : x
  2. Step 2: Convert to fraction form
    161,998.52/243,007.32 = 49,679.88/x
  3. Step 3: Cross multiply
    161,998.52x = 243,007.32 × 49,679.88
  4. Step 4: Simplify right side
    161,998.52x = 12,072,574,496.72
  5. Step 5: Solve for x
    x = 12,072,574,496.72/161,998.52
  6. Step 6: Final answer
    x = 74,522.75

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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.