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Finding the Fourth Proportional to 135,238.71, 202,876.52 and 56,334.49

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Solution

The fourth proportional to 135,238.71, 202,876.52 and 56,334.49 is: 84,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,238.71 : 202,876.52 = 56,334.49 : x
  2. Step 2: Convert to fraction form
    135,238.71/202,876.52 = 56,334.49/x
  3. Step 3: Cross multiply
    135,238.71x = 202,876.52 × 56,334.49
  4. Step 4: Simplify right side
    135,238.71x = 11,428,944,202.37
  5. Step 5: Solve for x
    x = 11,428,944,202.37/135,238.71
  6. Step 6: Final answer
    x = 84,509.41

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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.