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Finding the Fourth Proportional to 105,189.05, 145,174.61 and 59,858.21

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Solution

The fourth proportional to 105,189.05, 145,174.61 and 59,858.21 is: 82,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,189.05 : 145,174.61 = 59,858.21 : x
  2. Step 2: Convert to fraction form
    105,189.05/145,174.61 = 59,858.21/x
  3. Step 3: Cross multiply
    105,189.05x = 145,174.61 × 59,858.21
  4. Step 4: Simplify right side
    105,189.05x = 8,689,892,292.05
  5. Step 5: Solve for x
    x = 8,689,892,292.05/105,189.05
  6. Step 6: Final answer
    x = 82,612.14

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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.