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Finding the Fourth Proportional to 216,523.80, 324,822.96 and 74,362.32

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Solution

The fourth proportional to 216,523.80, 324,822.96 and 74,362.32 is: 111,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,523.80 : 324,822.96 = 74,362.32 : x
  2. Step 2: Convert to fraction form
    216,523.80/324,822.96 = 74,362.32/x
  3. Step 3: Cross multiply
    216,523.80x = 324,822.96 × 74,362.32
  4. Step 4: Simplify right side
    216,523.80x = 24,154,588,894.87
  5. Step 5: Solve for x
    x = 24,154,588,894.87/216,523.80
  6. Step 6: Final answer
    x = 111,556.28

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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.