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Finding the Fourth Proportional to 118,977.17, 164,193.09 and 65,264.45

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Solution

The fourth proportional to 118,977.17, 164,193.09 and 65,264.45 is: 90,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,977.17 : 164,193.09 = 65,264.45 : x
  2. Step 2: Convert to fraction form
    118,977.17/164,193.09 = 65,264.45/x
  3. Step 3: Cross multiply
    118,977.17x = 164,193.09 × 65,264.45
  4. Step 4: Simplify right side
    118,977.17x = 10,715,971,712.65
  5. Step 5: Solve for x
    x = 10,715,971,712.65/118,977.17
  6. Step 6: Final answer
    x = 90,067.46

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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.