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Finding the Fourth Proportional to 135,188, 202,645.92 and 56,345.84

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Solution

The fourth proportional to 135,188, 202,645.92 and 56,345.84 is: 84,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,188 : 202,645.92 = 56,345.84 : x
  2. Step 2: Convert to fraction form
    135,188/202,645.92 = 56,345.84/x
  3. Step 3: Cross multiply
    135,188x = 202,645.92 × 56,345.84
  4. Step 4: Simplify right side
    135,188x = 11,418,254,584.97
  5. Step 5: Solve for x
    x = 11,418,254,584.97/135,188
  6. Step 6: Final answer
    x = 84,462.04

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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.