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Finding the Fourth Proportional to 234,663.84, 323,834.13 and 132,709.32

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Solution

The fourth proportional to 234,663.84, 323,834.13 and 132,709.32 is: 183,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,663.84 : 323,834.13 = 132,709.32 : x
  2. Step 2: Convert to fraction form
    234,663.84/323,834.13 = 132,709.32/x
  3. Step 3: Cross multiply
    234,663.84x = 323,834.13 × 132,709.32
  4. Step 4: Simplify right side
    234,663.84x = 42,975,807,185.09
  5. Step 5: Solve for x
    x = 42,975,807,185.09/234,663.84
  6. Step 6: Final answer
    x = 183,137.75

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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.