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Finding the Fourth Proportional to 216,008.70, 324,401.85 and 156,911.10

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Solution

The fourth proportional to 216,008.70, 324,401.85 and 156,911.10 is: 235,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,008.70 : 324,401.85 = 156,911.10 : x
  2. Step 2: Convert to fraction form
    216,008.70/324,401.85 = 156,911.10/x
  3. Step 3: Cross multiply
    216,008.70x = 324,401.85 × 156,911.10
  4. Step 4: Simplify right side
    216,008.70x = 50,902,251,125.54
  5. Step 5: Solve for x
    x = 50,902,251,125.54/216,008.70
  6. Step 6: Final answer
    x = 235,649.08

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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.