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Finding the Fourth Proportional to 221,381.85, 331,644.71 and 185,416.17

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Solution

The fourth proportional to 221,381.85, 331,644.71 and 185,416.17 is: 277,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,381.85 : 331,644.71 = 185,416.17 : x
  2. Step 2: Convert to fraction form
    221,381.85/331,644.71 = 185,416.17/x
  3. Step 3: Cross multiply
    221,381.85x = 331,644.71 × 185,416.17
  4. Step 4: Simplify right side
    221,381.85x = 61,492,291,148.83
  5. Step 5: Solve for x
    x = 61,492,291,148.83/221,381.85
  6. Step 6: Final answer
    x = 277,765.73

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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.