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Finding the Fourth Proportional to 147,116, 203,020.10 and 80,048.48

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Solution

The fourth proportional to 147,116, 203,020.10 and 80,048.48 is: 110,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,116 : 203,020.10 = 80,048.48 : x
  2. Step 2: Convert to fraction form
    147,116/203,020.10 = 80,048.48/x
  3. Step 3: Cross multiply
    147,116x = 203,020.10 × 80,048.48
  4. Step 4: Simplify right side
    147,116x = 16,251,450,414.45
  5. Step 5: Solve for x
    x = 16,251,450,414.45/147,116
  6. Step 6: Final answer
    x = 110,466.91

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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.