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Finding the Fourth Proportional to 137,209.24, 205,821.96 and 52,969.96

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Solution

The fourth proportional to 137,209.24, 205,821.96 and 52,969.96 is: 79,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,209.24 : 205,821.96 = 52,969.96 : x
  2. Step 2: Convert to fraction form
    137,209.24/205,821.96 = 52,969.96/x
  3. Step 3: Cross multiply
    137,209.24x = 205,821.96 × 52,969.96
  4. Step 4: Simplify right side
    137,209.24x = 10,902,380,988.32
  5. Step 5: Solve for x
    x = 10,902,380,988.32/137,209.24
  6. Step 6: Final answer
    x = 79,458.07

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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.