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Finding the Fourth Proportional to 135,385.77, 202,958.10 and 64,264.53

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Solution

The fourth proportional to 135,385.77, 202,958.10 and 64,264.53 is: 96,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,385.77 : 202,958.10 = 64,264.53 : x
  2. Step 2: Convert to fraction form
    135,385.77/202,958.10 = 64,264.53/x
  3. Step 3: Cross multiply
    135,385.77x = 202,958.10 × 64,264.53
  4. Step 4: Simplify right side
    135,385.77x = 13,043,006,906.19
  5. Step 5: Solve for x
    x = 13,043,006,906.19/135,385.77
  6. Step 6: Final answer
    x = 96,339.57

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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.