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Finding the Fourth Proportional to 97,814.33, 135,046.50 and 67,238.27

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Solution

The fourth proportional to 97,814.33, 135,046.50 and 67,238.27 is: 92,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.33 : 135,046.50 = 67,238.27 : x
  2. Step 2: Convert to fraction form
    97,814.33/135,046.50 = 67,238.27/x
  3. Step 3: Cross multiply
    97,814.33x = 135,046.50 × 67,238.27
  4. Step 4: Simplify right side
    97,814.33x = 9,080,293,029.56
  5. Step 5: Solve for x
    x = 9,080,293,029.56/97,814.33
  6. Step 6: Final answer
    x = 92,831.93

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1.5x scale

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.