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Finding the Fourth Proportional to 206,267.21, 284,593.85 and 119,030.21

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Solution

The fourth proportional to 206,267.21, 284,593.85 and 119,030.21 is: 164,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,267.21 : 284,593.85 = 119,030.21 : x
  2. Step 2: Convert to fraction form
    206,267.21/284,593.85 = 119,030.21/x
  3. Step 3: Cross multiply
    206,267.21x = 284,593.85 × 119,030.21
  4. Step 4: Simplify right side
    206,267.21x = 33,875,265,895.22
  5. Step 5: Solve for x
    x = 33,875,265,895.22/206,267.21
  6. Step 6: Final answer
    x = 164,230.01

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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.