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Finding the Fourth Proportional to 216,472.77, 324,354.18 and 152,982.80

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Solution

The fourth proportional to 216,472.77, 324,354.18 and 152,982.80 is: 229,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,472.77 : 324,354.18 = 152,982.80 : x
  2. Step 2: Convert to fraction form
    216,472.77/324,354.18 = 152,982.80/x
  3. Step 3: Cross multiply
    216,472.77x = 324,354.18 × 152,982.80
  4. Step 4: Simplify right side
    216,472.77x = 49,620,610,816.35
  5. Step 5: Solve for x
    x = 49,620,610,816.35/216,472.77
  6. Step 6: Final answer
    x = 229,223.34

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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.