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Finding the Fourth Proportional to 299,692.71, 413,584.00 and 163,732.39

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Solution

The fourth proportional to 299,692.71, 413,584.00 and 163,732.39 is: 225,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,692.71 : 413,584.00 = 163,732.39 : x
  2. Step 2: Convert to fraction form
    299,692.71/413,584.00 = 163,732.39/x
  3. Step 3: Cross multiply
    299,692.71x = 413,584.00 × 163,732.39
  4. Step 4: Simplify right side
    299,692.71x = 67,717,095,967.10
  5. Step 5: Solve for x
    x = 67,717,095,967.10/299,692.71
  6. Step 6: Final answer
    x = 225,955.10

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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.