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Finding the Fourth Proportional to 118,874.34, 164,050.62 and 65,159.38

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Solution

The fourth proportional to 118,874.34, 164,050.62 and 65,159.38 is: 89,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,874.34 : 164,050.62 = 65,159.38 : x
  2. Step 2: Convert to fraction form
    118,874.34/164,050.62 = 65,159.38/x
  3. Step 3: Cross multiply
    118,874.34x = 164,050.62 × 65,159.38
  4. Step 4: Simplify right side
    118,874.34x = 10,689,436,687.82
  5. Step 5: Solve for x
    x = 10,689,436,687.82/118,874.34
  6. Step 6: Final answer
    x = 89,922.15

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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.