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Finding the Fourth Proportional to 147,019.96, 202,906.92 and 143,016.94

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Solution

The fourth proportional to 147,019.96, 202,906.92 and 143,016.94 is: 197,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,019.96 : 202,906.92 = 143,016.94 : x
  2. Step 2: Convert to fraction form
    147,019.96/202,906.92 = 143,016.94/x
  3. Step 3: Cross multiply
    147,019.96x = 202,906.92 × 143,016.94
  4. Step 4: Simplify right side
    147,019.96x = 29,019,126,803.22
  5. Step 5: Solve for x
    x = 29,019,126,803.22/147,019.96
  6. Step 6: Final answer
    x = 197,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.