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Finding the Fourth Proportional to 140,773.74, 194,267.81 and 77,112.58

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Solution

The fourth proportional to 140,773.74, 194,267.81 and 77,112.58 is: 106,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,773.74 : 194,267.81 = 77,112.58 : x
  2. Step 2: Convert to fraction form
    140,773.74/194,267.81 = 77,112.58/x
  3. Step 3: Cross multiply
    140,773.74x = 194,267.81 × 77,112.58
  4. Step 4: Simplify right side
    140,773.74x = 14,980,492,040.05
  5. Step 5: Solve for x
    x = 14,980,492,040.05/140,773.74
  6. Step 6: Final answer
    x = 106,415.39

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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.