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Finding the Fourth Proportional to 135,648.64, 187,197.38 and 75,221.83

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Solution

The fourth proportional to 135,648.64, 187,197.38 and 75,221.83 is: 103,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648.64 : 187,197.38 = 75,221.83 : x
  2. Step 2: Convert to fraction form
    135,648.64/187,197.38 = 75,221.83/x
  3. Step 3: Cross multiply
    135,648.64x = 187,197.38 × 75,221.83
  4. Step 4: Simplify right side
    135,648.64x = 14,081,329,494.81
  5. Step 5: Solve for x
    x = 14,081,329,494.81/135,648.64
  6. Step 6: Final answer
    x = 103,807.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.