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Finding the Fourth Proportional to 137,141.70, 205,712.55 and 109,493.70

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Solution

The fourth proportional to 137,141.70, 205,712.55 and 109,493.70 is: 164,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.70 : 205,712.55 = 109,493.70 : x
  2. Step 2: Convert to fraction form
    137,141.70/205,712.55 = 109,493.70/x
  3. Step 3: Cross multiply
    137,141.70x = 205,712.55 × 109,493.70
  4. Step 4: Simplify right side
    137,141.70x = 22,524,228,235.94
  5. Step 5: Solve for x
    x = 22,524,228,235.94/137,141.70
  6. Step 6: Final answer
    x = 164,240.55

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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.