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Finding the Fourth Proportional to 234,509.33, 323,622.06 and 127,082

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Solution

The fourth proportional to 234,509.33, 323,622.06 and 127,082 is: 175,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,509.33 : 323,622.06 = 127,082 : x
  2. Step 2: Convert to fraction form
    234,509.33/323,622.06 = 127,082/x
  3. Step 3: Cross multiply
    234,509.33x = 323,622.06 × 127,082
  4. Step 4: Simplify right side
    234,509.33x = 41,126,538,628.92
  5. Step 5: Solve for x
    x = 41,126,538,628.92/234,509.33
  6. Step 6: Final answer
    x = 175,372.72

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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.