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Finding the Fourth Proportional to 107,911.70, 161,867.55 and 55,423.70

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Solution

The fourth proportional to 107,911.70, 161,867.55 and 55,423.70 is: 83,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,911.70 : 161,867.55 = 55,423.70 : x
  2. Step 2: Convert to fraction form
    107,911.70/161,867.55 = 55,423.70/x
  3. Step 3: Cross multiply
    107,911.70x = 161,867.55 × 55,423.70
  4. Step 4: Simplify right side
    107,911.70x = 8,971,298,530.94
  5. Step 5: Solve for x
    x = 8,971,298,530.94/107,911.70
  6. Step 6: Final answer
    x = 83,135.55

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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.