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Finding the Fourth Proportional to 242,396.31, 363,633.87 and 71,635.35

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Solution

The fourth proportional to 242,396.31, 363,633.87 and 71,635.35 is: 107,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,396.31 : 363,633.87 = 71,635.35 : x
  2. Step 2: Convert to fraction form
    242,396.31/363,633.87 = 71,635.35/x
  3. Step 3: Cross multiply
    242,396.31x = 363,633.87 × 71,635.35
  4. Step 4: Simplify right side
    242,396.31x = 26,049,039,549.30
  5. Step 5: Solve for x
    x = 26,049,039,549.30/242,396.31
  6. Step 6: Final answer
    x = 107,464.67

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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.