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Finding the Fourth Proportional to 118,977.23, 164,193.19 and 65,264.51

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Solution

The fourth proportional to 118,977.23, 164,193.19 and 65,264.51 is: 90,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,977.23 : 164,193.19 = 65,264.51 : x
  2. Step 2: Convert to fraction form
    118,977.23/164,193.19 = 65,264.51/x
  3. Step 3: Cross multiply
    118,977.23x = 164,193.19 × 65,264.51
  4. Step 4: Simplify right side
    118,977.23x = 10,715,988,338.01
  5. Step 5: Solve for x
    x = 10,715,988,338.01/118,977.23
  6. Step 6: Final answer
    x = 90,067.55

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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.