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Finding the Fourth Proportional to 102,019.24, 140,441.88 and 84,085.84

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Solution

The fourth proportional to 102,019.24, 140,441.88 and 84,085.84 is: 115,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019.24 : 140,441.88 = 84,085.84 : x
  2. Step 2: Convert to fraction form
    102,019.24/140,441.88 = 84,085.84/x
  3. Step 3: Cross multiply
    102,019.24x = 140,441.88 × 84,085.84
  4. Step 4: Simplify right side
    102,019.24x = 11,809,173,450.98
  5. Step 5: Solve for x
    x = 11,809,173,450.98/102,019.24
  6. Step 6: Final answer
    x = 115,754.38

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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.