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Finding the Fourth Proportional to 207,219.55, 285,809.91 and 142,709.27

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Solution

The fourth proportional to 207,219.55, 285,809.91 and 142,709.27 is: 196,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,219.55 : 285,809.91 = 142,709.27 : x
  2. Step 2: Convert to fraction form
    207,219.55/285,809.91 = 142,709.27/x
  3. Step 3: Cross multiply
    207,219.55x = 285,809.91 × 142,709.27
  4. Step 4: Simplify right side
    207,219.55x = 40,787,724,329.39
  5. Step 5: Solve for x
    x = 40,787,724,329.39/207,219.55
  6. Step 6: Final answer
    x = 196,833.38

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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.