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Finding the Fourth Proportional to 106,920, 147,379.62 and 84,223.08

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Solution

The fourth proportional to 106,920, 147,379.62 and 84,223.08 is: 116,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920 : 147,379.62 = 84,223.08 : x
  2. Step 2: Convert to fraction form
    106,920/147,379.62 = 84,223.08/x
  3. Step 3: Cross multiply
    106,920x = 147,379.62 × 84,223.08
  4. Step 4: Simplify right side
    106,920x = 12,412,765,525.63
  5. Step 5: Solve for x
    x = 12,412,765,525.63/106,920
  6. Step 6: Final answer
    x = 116,093.95

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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.