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Finding the Fourth Proportional to 299,805.94, 413,737.62 and 163,845.64

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Solution

The fourth proportional to 299,805.94, 413,737.62 and 163,845.64 is: 226,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,805.94 : 413,737.62 = 163,845.64 : x
  2. Step 2: Convert to fraction form
    299,805.94/413,737.62 = 163,845.64/x
  3. Step 3: Cross multiply
    299,805.94x = 413,737.62 × 163,845.64
  4. Step 4: Simplify right side
    299,805.94x = 67,789,105,140.98
  5. Step 5: Solve for x
    x = 67,789,105,140.98/299,805.94
  6. Step 6: Final answer
    x = 226,109.95

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1.5x scale

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.