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Finding the Fourth Proportional to 165,737.10, 248,605.65 and 41,078.10

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Solution

The fourth proportional to 165,737.10, 248,605.65 and 41,078.10 is: 61,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,737.10 : 248,605.65 = 41,078.10 : x
  2. Step 2: Convert to fraction form
    165,737.10/248,605.65 = 41,078.10/x
  3. Step 3: Cross multiply
    165,737.10x = 248,605.65 × 41,078.10
  4. Step 4: Simplify right side
    165,737.10x = 10,212,247,751.27
  5. Step 5: Solve for x
    x = 10,212,247,751.27/165,737.10
  6. Step 6: Final answer
    x = 61,617.15

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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.