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Finding the Fourth Proportional to 234,101.32, 323,059.44 and 132,148.24

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Solution

The fourth proportional to 234,101.32, 323,059.44 and 132,148.24 is: 182,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,101.32 : 323,059.44 = 132,148.24 : x
  2. Step 2: Convert to fraction form
    234,101.32/323,059.44 = 132,148.24/x
  3. Step 3: Cross multiply
    234,101.32x = 323,059.44 × 132,148.24
  4. Step 4: Simplify right side
    234,101.32x = 42,691,736,411.39
  5. Step 5: Solve for x
    x = 42,691,736,411.39/234,101.32
  6. Step 6: Final answer
    x = 182,364.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.