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Finding the Fourth Proportional to 107,187.53, 147,927.66 and 59,456.30

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Solution

The fourth proportional to 107,187.53, 147,927.66 and 59,456.30 is: 82,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,187.53 : 147,927.66 = 59,456.30 : x
  2. Step 2: Convert to fraction form
    107,187.53/147,927.66 = 59,456.30/x
  3. Step 3: Cross multiply
    107,187.53x = 147,927.66 × 59,456.30
  4. Step 4: Simplify right side
    107,187.53x = 8,795,231,331.26
  5. Step 5: Solve for x
    x = 8,795,231,331.26/107,187.53
  6. Step 6: Final answer
    x = 82,054.61

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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.