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Finding the Fourth Proportional to 95,367.74, 143,078.67 and 77,764.86

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Solution

The fourth proportional to 95,367.74, 143,078.67 and 77,764.86 is: 116,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,367.74 : 143,078.67 = 77,764.86 : x
  2. Step 2: Convert to fraction form
    95,367.74/143,078.67 = 77,764.86/x
  3. Step 3: Cross multiply
    95,367.74x = 143,078.67 × 77,764.86
  4. Step 4: Simplify right side
    95,367.74x = 11,126,492,741.54
  5. Step 5: Solve for x
    x = 11,126,492,741.54/95,367.74
  6. Step 6: Final answer
    x = 116,669.36

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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.