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Finding the Fourth Proportional to 105,365.34, 145,405.31 and 57,617.66

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Solution

The fourth proportional to 105,365.34, 145,405.31 and 57,617.66 is: 79,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,365.34 : 145,405.31 = 57,617.66 : x
  2. Step 2: Convert to fraction form
    105,365.34/145,405.31 = 57,617.66/x
  3. Step 3: Cross multiply
    105,365.34x = 145,405.31 × 57,617.66
  4. Step 4: Simplify right side
    105,365.34x = 8,377,912,986.75
  5. Step 5: Solve for x
    x = 8,377,912,986.75/105,365.34
  6. Step 6: Final answer
    x = 79,512.99

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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.