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Finding the Fourth Proportional to 537,883.80, 806,825.70 and 163,906.20

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Solution

The fourth proportional to 537,883.80, 806,825.70 and 163,906.20 is: 245,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,883.80 : 806,825.70 = 163,906.20 : x
  2. Step 2: Convert to fraction form
    537,883.80/806,825.70 = 163,906.20/x
  3. Step 3: Cross multiply
    537,883.80x = 806,825.70 × 163,906.20
  4. Step 4: Simplify right side
    537,883.80x = 132,243,734,549.34
  5. Step 5: Solve for x
    x = 132,243,734,549.34/537,883.80
  6. Step 6: Final answer
    x = 245,859.30

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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.