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Finding the Fourth Proportional to 105,189.23, 145,162.13 and 59,865.02

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Solution

The fourth proportional to 105,189.23, 145,162.13 and 59,865.02 is: 82,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,189.23 : 145,162.13 = 59,865.02 : x
  2. Step 2: Convert to fraction form
    105,189.23/145,162.13 = 59,865.02/x
  3. Step 3: Cross multiply
    105,189.23x = 145,162.13 × 59,865.02
  4. Step 4: Simplify right side
    105,189.23x = 8,690,134,151.45
  5. Step 5: Solve for x
    x = 8,690,134,151.45/105,189.23
  6. Step 6: Final answer
    x = 82,614.29

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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.