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Finding the Fourth Proportional to 110,508.60, 165,878.83 and 97,938.77

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Solution

The fourth proportional to 110,508.60, 165,878.83 and 97,938.77 is: 147,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,508.60 : 165,878.83 = 97,938.77 : x
  2. Step 2: Convert to fraction form
    110,508.60/165,878.83 = 97,938.77/x
  3. Step 3: Cross multiply
    110,508.60x = 165,878.83 × 97,938.77
  4. Step 4: Simplify right side
    110,508.60x = 16,245,968,769.77
  5. Step 5: Solve for x
    x = 16,245,968,769.77/110,508.60
  6. Step 6: Final answer
    x = 147,010.90

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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.