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Finding the Fourth Proportional to 109,427.70, 164,141.55 and 56,939.70

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Solution

The fourth proportional to 109,427.70, 164,141.55 and 56,939.70 is: 85,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,427.70 : 164,141.55 = 56,939.70 : x
  2. Step 2: Convert to fraction form
    109,427.70/164,141.55 = 56,939.70/x
  3. Step 3: Cross multiply
    109,427.70x = 164,141.55 × 56,939.70
  4. Step 4: Simplify right side
    109,427.70x = 9,346,170,614.54
  5. Step 5: Solve for x
    x = 9,346,170,614.54/109,427.70
  6. Step 6: Final answer
    x = 85,409.55

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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.