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Finding the Fourth Proportional to 299,020.24, 412,651.12 and 163,053.04

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Solution

The fourth proportional to 299,020.24, 412,651.12 and 163,053.04 is: 225,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,020.24 : 412,651.12 = 163,053.04 : x
  2. Step 2: Convert to fraction form
    299,020.24/412,651.12 = 163,053.04/x
  3. Step 3: Cross multiply
    299,020.24x = 412,651.12 × 163,053.04
  4. Step 4: Simplify right side
    299,020.24x = 67,284,019,575.40
  5. Step 5: Solve for x
    x = 67,284,019,575.40/299,020.24
  6. Step 6: Final answer
    x = 225,014.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.