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Finding the Fourth Proportional to 119,410.95, 164,787.11 and 65,694.82

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Solution

The fourth proportional to 119,410.95, 164,787.11 and 65,694.82 is: 90,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,410.95 : 164,787.11 = 65,694.82 : x
  2. Step 2: Convert to fraction form
    119,410.95/164,787.11 = 65,694.82/x
  3. Step 3: Cross multiply
    119,410.95x = 164,787.11 × 65,694.82
  4. Step 4: Simplify right side
    119,410.95x = 10,825,658,911.82
  5. Step 5: Solve for x
    x = 10,825,658,911.82/119,410.95
  6. Step 6: Final answer
    x = 90,658.84

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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.