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Finding the Fourth Proportional to 135,325.80, 202,902.30 and 56,471.40

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Solution

The fourth proportional to 135,325.80, 202,902.30 and 56,471.40 is: 84,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,325.80 : 202,902.30 = 56,471.40 : x
  2. Step 2: Convert to fraction form
    135,325.80/202,902.30 = 56,471.40/x
  3. Step 3: Cross multiply
    135,325.80x = 202,902.30 × 56,471.40
  4. Step 4: Simplify right side
    135,325.80x = 11,458,176,944.22
  5. Step 5: Solve for x
    x = 11,458,176,944.22/135,325.80
  6. Step 6: Final answer
    x = 84,671.05

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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.