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Finding the Fourth Proportional to 105,194.57, 157,800.02 and 35,073.81

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Solution

The fourth proportional to 105,194.57, 157,800.02 and 35,073.81 is: 52,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194.57 : 157,800.02 = 35,073.81 : x
  2. Step 2: Convert to fraction form
    105,194.57/157,800.02 = 35,073.81/x
  3. Step 3: Cross multiply
    105,194.57x = 157,800.02 × 35,073.81
  4. Step 4: Simplify right side
    105,194.57x = 5,534,647,744.11
  5. Step 5: Solve for x
    x = 5,534,647,744.11/105,194.57
  6. Step 6: Final answer
    x = 52,613.44

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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.