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Finding the Fourth Proportional to 106,151.73, 146,366.67 and 84,624.66

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Solution

The fourth proportional to 106,151.73, 146,366.67 and 84,624.66 is: 116,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,151.73 : 146,366.67 = 84,624.66 : x
  2. Step 2: Convert to fraction form
    106,151.73/146,366.67 = 84,624.66/x
  3. Step 3: Cross multiply
    106,151.73x = 146,366.67 × 84,624.66
  4. Step 4: Simplify right side
    106,151.73x = 12,386,229,684.08
  5. Step 5: Solve for x
    x = 12,386,229,684.08/106,151.73
  6. Step 6: Final answer
    x = 116,684.20

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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.