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Finding the Fourth Proportional to 206,117.40, 309,176.10 and 185,778.30

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Solution

The fourth proportional to 206,117.40, 309,176.10 and 185,778.30 is: 278,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,117.40 : 309,176.10 = 185,778.30 : x
  2. Step 2: Convert to fraction form
    206,117.40/309,176.10 = 185,778.30/x
  3. Step 3: Cross multiply
    206,117.40x = 309,176.10 × 185,778.30
  4. Step 4: Simplify right side
    206,117.40x = 57,438,210,258.63
  5. Step 5: Solve for x
    x = 57,438,210,258.63/206,117.40
  6. Step 6: Final answer
    x = 278,667.45

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