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Finding the Fourth Proportional to 206,594.70, 309,454.65 and 184,433.10

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Solution

The fourth proportional to 206,594.70, 309,454.65 and 184,433.10 is: 276,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,594.70 : 309,454.65 = 184,433.10 : x
  2. Step 2: Convert to fraction form
    206,594.70/309,454.65 = 184,433.10/x
  3. Step 3: Cross multiply
    206,594.70x = 309,454.65 × 184,433.10
  4. Step 4: Simplify right side
    206,594.70x = 57,073,680,408.92
  5. Step 5: Solve for x
    x = 57,073,680,408.92/206,594.70
  6. Step 6: Final answer
    x = 276,259.17

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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.