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Finding the Fourth Proportional to 105,882.56, 158,828.16 and 26,998.83

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Solution

The fourth proportional to 105,882.56, 158,828.16 and 26,998.83 is: 40,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,882.56 : 158,828.16 = 26,998.83 : x
  2. Step 2: Convert to fraction form
    105,882.56/158,828.16 = 26,998.83/x
  3. Step 3: Cross multiply
    105,882.56x = 158,828.16 × 26,998.83
  4. Step 4: Simplify right side
    105,882.56x = 4,288,174,491.05
  5. Step 5: Solve for x
    x = 4,288,174,491.05/105,882.56
  6. Step 6: Final answer
    x = 40,499.35

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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.