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Finding the Fourth Proportional to 135,020.40, 202,512.84 and 35,187.84

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Solution

The fourth proportional to 135,020.40, 202,512.84 and 35,187.84 is: 52,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020.40 : 202,512.84 = 35,187.84 : x
  2. Step 2: Convert to fraction form
    135,020.40/202,512.84 = 35,187.84/x
  3. Step 3: Cross multiply
    135,020.40x = 202,512.84 × 35,187.84
  4. Step 4: Simplify right side
    135,020.40x = 7,125,989,411.87
  5. Step 5: Solve for x
    x = 7,125,989,411.87/135,020.40
  6. Step 6: Final answer
    x = 52,777.13

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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.