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Finding the Fourth Proportional to 299,302.50, 413,039.86 and 163,337.52

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Solution

The fourth proportional to 299,302.50, 413,039.86 and 163,337.52 is: 225,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.50 : 413,039.86 = 163,337.52 : x
  2. Step 2: Convert to fraction form
    299,302.50/413,039.86 = 163,337.52/x
  3. Step 3: Cross multiply
    299,302.50x = 413,039.86 × 163,337.52
  4. Step 4: Simplify right side
    299,302.50x = 67,464,906,393.55
  5. Step 5: Solve for x
    x = 67,464,906,393.55/299,302.50
  6. Step 6: Final answer
    x = 225,407.09

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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.