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Finding the Fourth Proportional to 110,500.76, 165,800.32 and 57,897.96

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Solution

The fourth proportional to 110,500.76, 165,800.32 and 57,897.96 is: 86,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,500.76 : 165,800.32 = 57,897.96 : x
  2. Step 2: Convert to fraction form
    110,500.76/165,800.32 = 57,897.96/x
  3. Step 3: Cross multiply
    110,500.76x = 165,800.32 × 57,897.96
  4. Step 4: Simplify right side
    110,500.76x = 9,599,500,295.35
  5. Step 5: Solve for x
    x = 9,599,500,295.35/110,500.76
  6. Step 6: Final answer
    x = 86,872.71

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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.