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Finding the Fourth Proportional to 105,162.75, 145,128.03 and 57,419.73

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Solution

The fourth proportional to 105,162.75, 145,128.03 and 57,419.73 is: 79,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,162.75 : 145,128.03 = 57,419.73 : x
  2. Step 2: Convert to fraction form
    105,162.75/145,128.03 = 57,419.73/x
  3. Step 3: Cross multiply
    105,162.75x = 145,128.03 × 57,419.73
  4. Step 4: Simplify right side
    105,162.75x = 8,333,212,298.03
  5. Step 5: Solve for x
    x = 8,333,212,298.03/105,162.75
  6. Step 6: Final answer
    x = 79,241.10

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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.