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Finding the Fourth Proportional to 213,401.80, 320,102.70 and 119,895.40

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Solution

The fourth proportional to 213,401.80, 320,102.70 and 119,895.40 is: 179,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,401.80 : 320,102.70 = 119,895.40 : x
  2. Step 2: Convert to fraction form
    213,401.80/320,102.70 = 119,895.40/x
  3. Step 3: Cross multiply
    213,401.80x = 320,102.70 × 119,895.40
  4. Step 4: Simplify right side
    213,401.80x = 38,378,841,257.58
  5. Step 5: Solve for x
    x = 38,378,841,257.58/213,401.80
  6. Step 6: Final answer
    x = 179,843.10

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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.