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Finding the Fourth Proportional to 110,501.75, 165,801.81 and 57,898.94

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Solution

The fourth proportional to 110,501.75, 165,801.81 and 57,898.94 is: 86,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,501.75 : 165,801.81 = 57,898.94 : x
  2. Step 2: Convert to fraction form
    110,501.75/165,801.81 = 57,898.94/x
  3. Step 3: Cross multiply
    110,501.75x = 165,801.81 × 57,898.94
  4. Step 4: Simplify right side
    110,501.75x = 9,599,749,049.08
  5. Step 5: Solve for x
    x = 9,599,749,049.08/110,501.75
  6. Step 6: Final answer
    x = 86,874.18

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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.