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Finding the Fourth Proportional to 299,055.24, 412,690.14 and 164,919.24

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Solution

The fourth proportional to 299,055.24, 412,690.14 and 164,919.24 is: 227,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,055.24 : 412,690.14 = 164,919.24 : x
  2. Step 2: Convert to fraction form
    299,055.24/412,690.14 = 164,919.24/x
  3. Step 3: Cross multiply
    299,055.24x = 412,690.14 × 164,919.24
  4. Step 4: Simplify right side
    299,055.24x = 68,060,544,244.29
  5. Step 5: Solve for x
    x = 68,060,544,244.29/299,055.24
  6. Step 6: Final answer
    x = 227,585.19

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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.