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Finding the Fourth Proportional to 299,040.53, 412,685.89 and 163,081.89

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Solution

The fourth proportional to 299,040.53, 412,685.89 and 163,081.89 is: 225,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,040.53 : 412,685.89 = 163,081.89 : x
  2. Step 2: Convert to fraction form
    299,040.53/412,685.89 = 163,081.89/x
  3. Step 3: Cross multiply
    299,040.53x = 412,685.89 × 163,081.89
  4. Step 4: Simplify right side
    299,040.53x = 67,301,594,509.83
  5. Step 5: Solve for x
    x = 67,301,594,509.83/299,040.53
  6. Step 6: Final answer
    x = 225,058.44

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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.