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Finding the Fourth Proportional to 304,092.75, 455,696.25 and 146,136.66

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Solution

The fourth proportional to 304,092.75, 455,696.25 and 146,136.66 is: 218,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,092.75 : 455,696.25 = 146,136.66 : x
  2. Step 2: Convert to fraction form
    304,092.75/455,696.25 = 146,136.66/x
  3. Step 3: Cross multiply
    304,092.75x = 455,696.25 × 146,136.66
  4. Step 4: Simplify right side
    304,092.75x = 66,593,927,949.53
  5. Step 5: Solve for x
    x = 66,593,927,949.53/304,092.75
  6. Step 6: Final answer
    x = 218,992.16

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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.