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Finding the Fourth Proportional to 206,902.60, 310,353.90 and 184,595.20

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Solution

The fourth proportional to 206,902.60, 310,353.90 and 184,595.20 is: 276,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,902.60 : 310,353.90 = 184,595.20 : x
  2. Step 2: Convert to fraction form
    206,902.60/310,353.90 = 184,595.20/x
  3. Step 3: Cross multiply
    206,902.60x = 310,353.90 × 184,595.20
  4. Step 4: Simplify right side
    206,902.60x = 57,289,840,241.28
  5. Step 5: Solve for x
    x = 57,289,840,241.28/206,902.60
  6. Step 6: Final answer
    x = 276,892.80

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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.