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Finding the Fourth Proportional to 308,696.08, 463,053.84 and 106,290.04

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Solution

The fourth proportional to 308,696.08, 463,053.84 and 106,290.04 is: 159,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,696.08 : 463,053.84 = 106,290.04 : x
  2. Step 2: Convert to fraction form
    308,696.08/463,053.84 = 106,290.04/x
  3. Step 3: Cross multiply
    308,696.08x = 463,053.84 × 106,290.04
  4. Step 4: Simplify right side
    308,696.08x = 49,218,011,175.75
  5. Step 5: Solve for x
    x = 49,218,011,175.75/308,696.08
  6. Step 6: Final answer
    x = 159,438.41

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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.