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Finding the Fourth Proportional to 234,583.68, 351,876.12 and 164,774.64

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Solution

The fourth proportional to 234,583.68, 351,876.12 and 164,774.64 is: 247,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,583.68 : 351,876.12 = 164,774.64 : x
  2. Step 2: Convert to fraction form
    234,583.68/351,876.12 = 164,774.64/x
  3. Step 3: Cross multiply
    234,583.68x = 351,876.12 × 164,774.64
  4. Step 4: Simplify right side
    234,583.68x = 57,980,260,997.60
  5. Step 5: Solve for x
    x = 57,980,260,997.60/234,583.68
  6. Step 6: Final answer
    x = 247,162.38

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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.