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Finding the Fourth Proportional to 132,703.92, 183,253.12 and 84,321.78

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Solution

The fourth proportional to 132,703.92, 183,253.12 and 84,321.78 is: 116,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,703.92 : 183,253.12 = 84,321.78 : x
  2. Step 2: Convert to fraction form
    132,703.92/183,253.12 = 84,321.78/x
  3. Step 3: Cross multiply
    132,703.92x = 183,253.12 × 84,321.78
  4. Step 4: Simplify right side
    132,703.92x = 15,452,228,847.34
  5. Step 5: Solve for x
    x = 15,452,228,847.34/132,703.92
  6. Step 6: Final answer
    x = 116,441.39

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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.