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Finding the Fourth Proportional to 213,475.58, 320,265.93 and 150,418.86

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Solution

The fourth proportional to 213,475.58, 320,265.93 and 150,418.86 is: 225,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,475.58 : 320,265.93 = 150,418.86 : x
  2. Step 2: Convert to fraction form
    213,475.58/320,265.93 = 150,418.86/x
  3. Step 3: Cross multiply
    213,475.58x = 320,265.93 × 150,418.86
  4. Step 4: Simplify right side
    213,475.58x = 48,174,035,450.51
  5. Step 5: Solve for x
    x = 48,174,035,450.51/213,475.58
  6. Step 6: Final answer
    x = 225,665.32

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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.