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Finding the Fourth Proportional to 140,938.77, 194,494.05 and 77,276.46

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Solution

The fourth proportional to 140,938.77, 194,494.05 and 77,276.46 is: 106,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,938.77 : 194,494.05 = 77,276.46 : x
  2. Step 2: Convert to fraction form
    140,938.77/194,494.05 = 77,276.46/x
  3. Step 3: Cross multiply
    140,938.77x = 194,494.05 × 77,276.46
  4. Step 4: Simplify right side
    140,938.77x = 15,029,811,675.06
  5. Step 5: Solve for x
    x = 15,029,811,675.06/140,938.77
  6. Step 6: Final answer
    x = 106,640.72

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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.