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Finding the Fourth Proportional to 189,311.67, 261,346.51 and 146,194.36

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Solution

The fourth proportional to 189,311.67, 261,346.51 and 146,194.36 is: 201,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,311.67 : 261,346.51 = 146,194.36 : x
  2. Step 2: Convert to fraction form
    189,311.67/261,346.51 = 146,194.36/x
  3. Step 3: Cross multiply
    189,311.67x = 261,346.51 × 146,194.36
  4. Step 4: Simplify right side
    189,311.67x = 38,207,384,460.95
  5. Step 5: Solve for x
    x = 38,207,384,460.95/189,311.67
  6. Step 6: Final answer
    x = 201,822.66

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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.