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Finding the Fourth Proportional to 199,210.86, 274,902.96 and 108,564.90

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Solution

The fourth proportional to 199,210.86, 274,902.96 and 108,564.90 is: 149,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,210.86 : 274,902.96 = 108,564.90 : x
  2. Step 2: Convert to fraction form
    199,210.86/274,902.96 = 108,564.90/x
  3. Step 3: Cross multiply
    199,210.86x = 274,902.96 × 108,564.90
  4. Step 4: Simplify right side
    199,210.86x = 29,844,812,362.10
  5. Step 5: Solve for x
    x = 29,844,812,362.10/199,210.86
  6. Step 6: Final answer
    x = 149,815.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.