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Finding the Fourth Proportional to 216,311.24, 324,483.90 and 76,101.32

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Solution

The fourth proportional to 216,311.24, 324,483.90 and 76,101.32 is: 114,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,311.24 : 324,483.90 = 76,101.32 : x
  2. Step 2: Convert to fraction form
    216,311.24/324,483.90 = 76,101.32/x
  3. Step 3: Cross multiply
    216,311.24x = 324,483.90 × 76,101.32
  4. Step 4: Simplify right side
    216,311.24x = 24,693,653,108.75
  5. Step 5: Solve for x
    x = 24,693,653,108.75/216,311.24
  6. Step 6: Final answer
    x = 114,157.97

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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.