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Finding the Fourth Proportional to 217,902.80, 300,741.60 and 181,546.68

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Solution

The fourth proportional to 217,902.80, 300,741.60 and 181,546.68 is: 250,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,902.80 : 300,741.60 = 181,546.68 : x
  2. Step 2: Convert to fraction form
    217,902.80/300,741.60 = 181,546.68/x
  3. Step 3: Cross multiply
    217,902.80x = 300,741.60 × 181,546.68
  4. Step 4: Simplify right side
    217,902.80x = 54,598,639,017.89
  5. Step 5: Solve for x
    x = 54,598,639,017.89/217,902.80
  6. Step 6: Final answer
    x = 250,564.19

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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.