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Finding the Fourth Proportional to 132,951.66, 183,541.02 and 102,669

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Solution

The fourth proportional to 132,951.66, 183,541.02 and 102,669 is: 141,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,951.66 : 183,541.02 = 102,669 : x
  2. Step 2: Convert to fraction form
    132,951.66/183,541.02 = 102,669/x
  3. Step 3: Cross multiply
    132,951.66x = 183,541.02 × 102,669
  4. Step 4: Simplify right side
    132,951.66x = 18,843,972,982.38
  5. Step 5: Solve for x
    x = 18,843,972,982.38/132,951.66
  6. Step 6: Final answer
    x = 141,735.52

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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.