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Finding the Fourth Proportional to 140,738.76, 194,223.24 and 77,080.68

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Solution

The fourth proportional to 140,738.76, 194,223.24 and 77,080.68 is: 106,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,738.76 : 194,223.24 = 77,080.68 : x
  2. Step 2: Convert to fraction form
    140,738.76/194,223.24 = 77,080.68/x
  3. Step 3: Cross multiply
    140,738.76x = 194,223.24 × 77,080.68
  4. Step 4: Simplify right side
    140,738.76x = 14,970,859,411.00
  5. Step 5: Solve for x
    x = 14,970,859,411.00/140,738.76
  6. Step 6: Final answer
    x = 106,373.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.