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Finding the Fourth Proportional to 140,737.98, 194,211.51 and 77,076.06

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Solution

The fourth proportional to 140,737.98, 194,211.51 and 77,076.06 is: 106,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,737.98 : 194,211.51 = 77,076.06 : x
  2. Step 2: Convert to fraction form
    140,737.98/194,211.51 = 77,076.06/x
  3. Step 3: Cross multiply
    140,737.98x = 194,211.51 × 77,076.06
  4. Step 4: Simplify right side
    140,737.98x = 14,969,057,997.45
  5. Step 5: Solve for x
    x = 14,969,057,997.45/140,737.98
  6. Step 6: Final answer
    x = 106,361.18

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1.5x scale

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.