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Finding the Fourth Proportional to 96,514.32, 133,197.14 and 60,735

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Solution

The fourth proportional to 96,514.32, 133,197.14 and 60,735 is: 83,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,514.32 : 133,197.14 = 60,735 : x
  2. Step 2: Convert to fraction form
    96,514.32/133,197.14 = 60,735/x
  3. Step 3: Cross multiply
    96,514.32x = 133,197.14 × 60,735
  4. Step 4: Simplify right side
    96,514.32x = 8,089,728,297.90
  5. Step 5: Solve for x
    x = 8,089,728,297.90/96,514.32
  6. Step 6: Final answer
    x = 83,818.94

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