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Finding the Fourth Proportional to 135,238.46, 202,876.14 and 56,334.23

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Solution

The fourth proportional to 135,238.46, 202,876.14 and 56,334.23 is: 84,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,238.46 : 202,876.14 = 56,334.23 : x
  2. Step 2: Convert to fraction form
    135,238.46/202,876.14 = 56,334.23/x
  3. Step 3: Cross multiply
    135,238.46x = 202,876.14 × 56,334.23
  4. Step 4: Simplify right side
    135,238.46x = 11,428,872,231.11
  5. Step 5: Solve for x
    x = 11,428,872,231.11/135,238.46
  6. Step 6: Final answer
    x = 84,509.04

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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.