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Finding the Fourth Proportional to 137,736.40, 206,604.16 and 77,737.68

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Solution

The fourth proportional to 137,736.40, 206,604.16 and 77,737.68 is: 116,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,736.40 : 206,604.16 = 77,737.68 : x
  2. Step 2: Convert to fraction form
    137,736.40/206,604.16 = 77,737.68/x
  3. Step 3: Cross multiply
    137,736.40x = 206,604.16 × 77,737.68
  4. Step 4: Simplify right side
    137,736.40x = 16,060,928,076.75
  5. Step 5: Solve for x
    x = 16,060,928,076.75/137,736.40
  6. Step 6: Final answer
    x = 116,606.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.