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Finding the Fourth Proportional to 106,901.66, 160,033.02 and 64,653.95

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Solution

The fourth proportional to 106,901.66, 160,033.02 and 64,653.95 is: 96,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,901.66 : 160,033.02 = 64,653.95 : x
  2. Step 2: Convert to fraction form
    106,901.66/160,033.02 = 64,653.95/x
  3. Step 3: Cross multiply
    106,901.66x = 160,033.02 × 64,653.95
  4. Step 4: Simplify right side
    106,901.66x = 10,346,766,073.26
  5. Step 5: Solve for x
    x = 10,346,766,073.26/106,901.66
  6. Step 6: Final answer
    x = 96,787.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.