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Finding the Fourth Proportional to 206,817.92, 310,263.24 and 106,950.92

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Solution

The fourth proportional to 206,817.92, 310,263.24 and 106,950.92 is: 160,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,817.92 : 310,263.24 = 106,950.92 : x
  2. Step 2: Convert to fraction form
    206,817.92/310,263.24 = 106,950.92/x
  3. Step 3: Cross multiply
    206,817.92x = 310,263.24 × 106,950.92
  4. Step 4: Simplify right side
    206,817.92x = 33,182,938,960.18
  5. Step 5: Solve for x
    x = 33,182,938,960.18/206,817.92
  6. Step 6: Final answer
    x = 160,445.18

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1.5x scale

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.