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Finding the Fourth Proportional to 234,801.94, 351,971.24 and 150,321.64

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Solution

The fourth proportional to 234,801.94, 351,971.24 and 150,321.64 is: 225,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,801.94 : 351,971.24 = 150,321.64 : x
  2. Step 2: Convert to fraction form
    234,801.94/351,971.24 = 150,321.64/x
  3. Step 3: Cross multiply
    234,801.94x = 351,971.24 × 150,321.64
  4. Step 4: Simplify right side
    234,801.94x = 52,908,894,029.63
  5. Step 5: Solve for x
    x = 52,908,894,029.63/234,801.94
  6. Step 6: Final answer
    x = 225,334.14

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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.