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Finding the Fourth Proportional to 221,409.35, 332,114.03 and 188,276.30

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Solution

The fourth proportional to 221,409.35, 332,114.03 and 188,276.30 is: 282,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,409.35 : 332,114.03 = 188,276.30 : x
  2. Step 2: Convert to fraction form
    221,409.35/332,114.03 = 188,276.30/x
  3. Step 3: Cross multiply
    221,409.35x = 332,114.03 × 188,276.30
  4. Step 4: Simplify right side
    221,409.35x = 62,529,199,805.11
  5. Step 5: Solve for x
    x = 62,529,199,805.11/221,409.35
  6. Step 6: Final answer
    x = 282,414.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.