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Finding the Fourth Proportional to 186,806.30, 280,209.45 and 164,644.70

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Solution

The fourth proportional to 186,806.30, 280,209.45 and 164,644.70 is: 246,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,806.30 : 280,209.45 = 164,644.70 : x
  2. Step 2: Convert to fraction form
    186,806.30/280,209.45 = 164,644.70/x
  3. Step 3: Cross multiply
    186,806.30x = 280,209.45 × 164,644.70
  4. Step 4: Simplify right side
    186,806.30x = 46,135,000,832.42
  5. Step 5: Solve for x
    x = 46,135,000,832.42/186,806.30
  6. Step 6: Final answer
    x = 246,967.05

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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.