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Finding the Fourth Proportional to 299,838.46, 413,776.08 and 163,872.37

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Solution

The fourth proportional to 299,838.46, 413,776.08 and 163,872.37 is: 226,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,838.46 : 413,776.08 = 163,872.37 : x
  2. Step 2: Convert to fraction form
    299,838.46/413,776.08 = 163,872.37/x
  3. Step 3: Cross multiply
    299,838.46x = 413,776.08 × 163,872.37
  4. Step 4: Simplify right side
    299,838.46x = 67,806,463,990.67
  5. Step 5: Solve for x
    x = 67,806,463,990.67/299,838.46
  6. Step 6: Final answer
    x = 226,143.32

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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.