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Finding the Fourth Proportional to 132,083.13, 182,274.72 and 75,495.72

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Solution

The fourth proportional to 132,083.13, 182,274.72 and 75,495.72 is: 104,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,083.13 : 182,274.72 = 75,495.72 : x
  2. Step 2: Convert to fraction form
    132,083.13/182,274.72 = 75,495.72/x
  3. Step 3: Cross multiply
    132,083.13x = 182,274.72 × 75,495.72
  4. Step 4: Simplify right side
    132,083.13x = 13,760,961,868.62
  5. Step 5: Solve for x
    x = 13,760,961,868.62/132,083.13
  6. Step 6: Final answer
    x = 104,184.10

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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.