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Finding the Fourth Proportional to 234,140.16, 351,440.64 and 171,632.64

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Solution

The fourth proportional to 234,140.16, 351,440.64 and 171,632.64 is: 257,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,140.16 : 351,440.64 = 171,632.64 : x
  2. Step 2: Convert to fraction form
    234,140.16/351,440.64 = 171,632.64/x
  3. Step 3: Cross multiply
    234,140.16x = 351,440.64 × 171,632.64
  4. Step 4: Simplify right side
    234,140.16x = 60,318,684,846.49
  5. Step 5: Solve for x
    x = 60,318,684,846.49/234,140.16
  6. Step 6: Final answer
    x = 257,617.85

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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.