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Finding the Fourth Proportional to 132,824.66, 183,296.42 and 72,395.12

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Solution

The fourth proportional to 132,824.66, 183,296.42 and 72,395.12 is: 99,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,824.66 : 183,296.42 = 72,395.12 : x
  2. Step 2: Convert to fraction form
    132,824.66/183,296.42 = 72,395.12/x
  3. Step 3: Cross multiply
    132,824.66x = 183,296.42 × 72,395.12
  4. Step 4: Simplify right side
    132,824.66x = 13,269,765,658.18
  5. Step 5: Solve for x
    x = 13,269,765,658.18/132,824.66
  6. Step 6: Final answer
    x = 99,904.38

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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.