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Finding the Fourth Proportional to 110,551.59, 165,709.14 and 57,189.86

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Solution

The fourth proportional to 110,551.59, 165,709.14 and 57,189.86 is: 85,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,551.59 : 165,709.14 = 57,189.86 : x
  2. Step 2: Convert to fraction form
    110,551.59/165,709.14 = 57,189.86/x
  3. Step 3: Cross multiply
    110,551.59x = 165,709.14 × 57,189.86
  4. Step 4: Simplify right side
    110,551.59x = 9,476,881,688.77
  5. Step 5: Solve for x
    x = 9,476,881,688.77/110,551.59
  6. Step 6: Final answer
    x = 85,723.61

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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.