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Finding the Fourth Proportional to 401,239.67, 601,938.30 and 148,522.25

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Solution

The fourth proportional to 401,239.67, 601,938.30 and 148,522.25 is: 222,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,239.67 : 601,938.30 = 148,522.25 : x
  2. Step 2: Convert to fraction form
    401,239.67/601,938.30 = 148,522.25/x
  3. Step 3: Cross multiply
    401,239.67x = 601,938.30 × 148,522.25
  4. Step 4: Simplify right side
    401,239.67x = 89,401,227,667.48
  5. Step 5: Solve for x
    x = 89,401,227,667.48/401,239.67
  6. Step 6: Final answer
    x = 222,812.54

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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.