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Finding the Fourth Proportional to 146,508.69, 220,861.14 and 136,743.63

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Solution

The fourth proportional to 146,508.69, 220,861.14 and 136,743.63 is: 206,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,508.69 : 220,861.14 = 136,743.63 : x
  2. Step 2: Convert to fraction form
    146,508.69/220,861.14 = 136,743.63/x
  3. Step 3: Cross multiply
    146,508.69x = 220,861.14 × 136,743.63
  4. Step 4: Simplify right side
    146,508.69x = 30,201,354,009.54
  5. Step 5: Solve for x
    x = 30,201,354,009.54/146,508.69
  6. Step 6: Final answer
    x = 206,140.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.