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Finding the Fourth Proportional to 135,367.60, 202,917.50 and 64,165.20

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Solution

The fourth proportional to 135,367.60, 202,917.50 and 64,165.20 is: 96,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,367.60 : 202,917.50 = 64,165.20 : x
  2. Step 2: Convert to fraction form
    135,367.60/202,917.50 = 64,165.20/x
  3. Step 3: Cross multiply
    135,367.60x = 202,917.50 × 64,165.20
  4. Step 4: Simplify right side
    135,367.60x = 13,020,241,971
  5. Step 5: Solve for x
    x = 13,020,241,971/135,367.60
  6. Step 6: Final answer
    x = 96,184.33

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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.