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Finding the Fourth Proportional to 132,818.10, 183,293.26 and 75,456.38

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Solution

The fourth proportional to 132,818.10, 183,293.26 and 75,456.38 is: 104,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,818.10 : 183,293.26 = 75,456.38 : x
  2. Step 2: Convert to fraction form
    132,818.10/183,293.26 = 75,456.38/x
  3. Step 3: Cross multiply
    132,818.10x = 183,293.26 × 75,456.38
  4. Step 4: Simplify right side
    132,818.10x = 13,830,645,399.53
  5. Step 5: Solve for x
    x = 13,830,645,399.53/132,818.10
  6. Step 6: Final answer
    x = 104,132.23

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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.