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Finding the Fourth Proportional to 105,167.56, 157,751.34 and 55,908.04

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Solution

The fourth proportional to 105,167.56, 157,751.34 and 55,908.04 is: 83,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,167.56 : 157,751.34 = 55,908.04 : x
  2. Step 2: Convert to fraction form
    105,167.56/157,751.34 = 55,908.04/x
  3. Step 3: Cross multiply
    105,167.56x = 157,751.34 × 55,908.04
  4. Step 4: Simplify right side
    105,167.56x = 8,819,568,226.77
  5. Step 5: Solve for x
    x = 8,819,568,226.77/105,167.56
  6. Step 6: Final answer
    x = 83,862.06

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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.