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Finding the Fourth Proportional to 252,183.25, 347,816.01 and 161,547.64

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Solution

The fourth proportional to 252,183.25, 347,816.01 and 161,547.64 is: 222,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,183.25 : 347,816.01 = 161,547.64 : x
  2. Step 2: Convert to fraction form
    252,183.25/347,816.01 = 161,547.64/x
  3. Step 3: Cross multiply
    252,183.25x = 347,816.01 × 161,547.64
  4. Step 4: Simplify right side
    252,183.25x = 56,188,855,569.72
  5. Step 5: Solve for x
    x = 56,188,855,569.72/252,183.25
  6. Step 6: Final answer
    x = 222,809.63

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1.5x scale

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.