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Finding the Fourth Proportional to 105,184.49, 145,167.03 and 59,245.63

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Solution

The fourth proportional to 105,184.49, 145,167.03 and 59,245.63 is: 81,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,184.49 : 145,167.03 = 59,245.63 : x
  2. Step 2: Convert to fraction form
    105,184.49/145,167.03 = 59,245.63/x
  3. Step 3: Cross multiply
    105,184.49x = 145,167.03 × 59,245.63
  4. Step 4: Simplify right side
    105,184.49x = 8,600,511,784.66
  5. Step 5: Solve for x
    x = 8,600,511,784.66/105,184.49
  6. Step 6: Final answer
    x = 81,765.97

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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.