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Finding the Fourth Proportional to 601,372.42, 902,162.85 and 202,052.14

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Solution

The fourth proportional to 601,372.42, 902,162.85 and 202,052.14 is: 303,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,372.42 : 902,162.85 = 202,052.14 : x
  2. Step 2: Convert to fraction form
    601,372.42/902,162.85 = 202,052.14/x
  3. Step 3: Cross multiply
    601,372.42x = 902,162.85 × 202,052.14
  4. Step 4: Simplify right side
    601,372.42x = 182,283,934,471.00
  5. Step 5: Solve for x
    x = 182,283,934,471.00/601,372.42
  6. Step 6: Final answer
    x = 303,113.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.