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Finding the Fourth Proportional to 136,104.96, 187,831.26 and 75,676.68

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Solution

The fourth proportional to 136,104.96, 187,831.26 and 75,676.68 is: 104,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,104.96 : 187,831.26 = 75,676.68 : x
  2. Step 2: Convert to fraction form
    136,104.96/187,831.26 = 75,676.68/x
  3. Step 3: Cross multiply
    136,104.96x = 187,831.26 × 75,676.68
  4. Step 4: Simplify right side
    136,104.96x = 14,214,446,157.02
  5. Step 5: Solve for x
    x = 14,214,446,157.02/136,104.96
  6. Step 6: Final answer
    x = 104,437.39

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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.