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Finding the Fourth Proportional to 141,832.66, 195,723.31 and 77,300.53

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Solution

The fourth proportional to 141,832.66, 195,723.31 and 77,300.53 is: 106,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,832.66 : 195,723.31 = 77,300.53 : x
  2. Step 2: Convert to fraction form
    141,832.66/195,723.31 = 77,300.53/x
  3. Step 3: Cross multiply
    141,832.66x = 195,723.31 × 77,300.53
  4. Step 4: Simplify right side
    141,832.66x = 15,129,515,596.35
  5. Step 5: Solve for x
    x = 15,129,515,596.35/141,832.66
  6. Step 6: Final answer
    x = 106,671.59

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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.