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Finding the Fourth Proportional to 161,285.46, 222,463.71 and 147,901.02

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Solution

The fourth proportional to 161,285.46, 222,463.71 and 147,901.02 is: 204,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,285.46 : 222,463.71 = 147,901.02 : x
  2. Step 2: Convert to fraction form
    161,285.46/222,463.71 = 147,901.02/x
  3. Step 3: Cross multiply
    161,285.46x = 222,463.71 × 147,901.02
  4. Step 4: Simplify right side
    161,285.46x = 32,902,609,621.98
  5. Step 5: Solve for x
    x = 32,902,609,621.98/161,285.46
  6. Step 6: Final answer
    x = 204,002.33

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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.