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Finding the Fourth Proportional to 135,634.80, 203,471.40 and 42,130.80

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Solution

The fourth proportional to 135,634.80, 203,471.40 and 42,130.80 is: 63,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,634.80 : 203,471.40 = 42,130.80 : x
  2. Step 2: Convert to fraction form
    135,634.80/203,471.40 = 42,130.80/x
  3. Step 3: Cross multiply
    135,634.80x = 203,471.40 × 42,130.80
  4. Step 4: Simplify right side
    135,634.80x = 8,572,412,859.12
  5. Step 5: Solve for x
    x = 8,572,412,859.12/135,634.80
  6. Step 6: Final answer
    x = 63,202.16

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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.