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Finding the Fourth Proportional to 206,577.70, 309,429.15 and 184,416.10

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Solution

The fourth proportional to 206,577.70, 309,429.15 and 184,416.10 is: 276,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,577.70 : 309,429.15 = 184,416.10 : x
  2. Step 2: Convert to fraction form
    206,577.70/309,429.15 = 184,416.10/x
  3. Step 3: Cross multiply
    206,577.70x = 309,429.15 × 184,416.10
  4. Step 4: Simplify right side
    206,577.70x = 57,063,717,069.32
  5. Step 5: Solve for x
    x = 57,063,717,069.32/206,577.70
  6. Step 6: Final answer
    x = 276,233.67

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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.