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Finding the Fourth Proportional to 299,207.51, 412,891.93 and 163,233.35

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Solution

The fourth proportional to 299,207.51, 412,891.93 and 163,233.35 is: 225,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,207.51 : 412,891.93 = 163,233.35 : x
  2. Step 2: Convert to fraction form
    299,207.51/412,891.93 = 163,233.35/x
  3. Step 3: Cross multiply
    299,207.51x = 412,891.93 × 163,233.35
  4. Step 4: Simplify right side
    299,207.51x = 67,397,732,921.87
  5. Step 5: Solve for x
    x = 67,397,732,921.87/299,207.51
  6. Step 6: Final answer
    x = 225,254.15

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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.