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Finding the Fourth Proportional to 106,814.66, 160,277.67 and 77,474.68

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Solution

The fourth proportional to 106,814.66, 160,277.67 and 77,474.68 is: 116,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.66 : 160,277.67 = 77,474.68 : x
  2. Step 2: Convert to fraction form
    106,814.66/160,277.67 = 77,474.68/x
  3. Step 3: Cross multiply
    106,814.66x = 160,277.67 × 77,474.68
  4. Step 4: Simplify right side
    106,814.66x = 12,417,460,793.70
  5. Step 5: Solve for x
    x = 12,417,460,793.70/106,814.66
  6. Step 6: Final answer
    x = 116,252.41

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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.