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Finding the Fourth Proportional to 109,505.73, 151,108.86 and 61,770.81

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Solution

The fourth proportional to 109,505.73, 151,108.86 and 61,770.81 is: 85,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,505.73 : 151,108.86 = 61,770.81 : x
  2. Step 2: Convert to fraction form
    109,505.73/151,108.86 = 61,770.81/x
  3. Step 3: Cross multiply
    109,505.73x = 151,108.86 × 61,770.81
  4. Step 4: Simplify right side
    109,505.73x = 9,334,116,680.38
  5. Step 5: Solve for x
    x = 9,334,116,680.38/109,505.73
  6. Step 6: Final answer
    x = 85,238.61

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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.