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Finding the Fourth Proportional to 219,744.60, 329,811.30 and 188,251.80

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Solution

The fourth proportional to 219,744.60, 329,811.30 and 188,251.80 is: 282,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,744.60 : 329,811.30 = 188,251.80 : x
  2. Step 2: Convert to fraction form
    219,744.60/329,811.30 = 188,251.80/x
  3. Step 3: Cross multiply
    219,744.60x = 329,811.30 × 188,251.80
  4. Step 4: Simplify right side
    219,744.60x = 62,087,570,885.34
  5. Step 5: Solve for x
    x = 62,087,570,885.34/219,744.60
  6. Step 6: Final answer
    x = 282,544.24

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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.