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Finding the Fourth Proportional to 304,092.24, 455,695.50 and 146,136.17

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Solution

The fourth proportional to 304,092.24, 455,695.50 and 146,136.17 is: 218,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,092.24 : 455,695.50 = 146,136.17 : x
  2. Step 2: Convert to fraction form
    304,092.24/455,695.50 = 146,136.17/x
  3. Step 3: Cross multiply
    304,092.24x = 455,695.50 × 146,136.17
  4. Step 4: Simplify right side
    304,092.24x = 66,593,595,056.24
  5. Step 5: Solve for x
    x = 66,593,595,056.24/304,092.24
  6. Step 6: Final answer
    x = 218,991.43

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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.