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Finding the Fourth Proportional to 363,442.32, 545,241.15 and 110,742.98

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Solution

The fourth proportional to 363,442.32, 545,241.15 and 110,742.98 is: 166,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,442.32 : 545,241.15 = 110,742.98 : x
  2. Step 2: Convert to fraction form
    363,442.32/545,241.15 = 110,742.98/x
  3. Step 3: Cross multiply
    363,442.32x = 545,241.15 × 110,742.98
  4. Step 4: Simplify right side
    363,442.32x = 60,381,627,043.42
  5. Step 5: Solve for x
    x = 60,381,627,043.42/363,442.32
  6. Step 6: Final answer
    x = 166,138.13

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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.