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Finding the Fourth Proportional to 537,895.80, 806,843.70 and 163,937.40

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Solution

The fourth proportional to 537,895.80, 806,843.70 and 163,937.40 is: 245,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,895.80 : 806,843.70 = 163,937.40 : x
  2. Step 2: Convert to fraction form
    537,895.80/806,843.70 = 163,937.40/x
  3. Step 3: Cross multiply
    537,895.80x = 806,843.70 × 163,937.40
  4. Step 4: Simplify right side
    537,895.80x = 132,271,858,384.38
  5. Step 5: Solve for x
    x = 132,271,858,384.38/537,895.80
  6. Step 6: Final answer
    x = 245,906.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.