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Finding the Fourth Proportional to 267,144.50, 368,645.65 and 146,262.40

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Solution

The fourth proportional to 267,144.50, 368,645.65 and 146,262.40 is: 201,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,144.50 : 368,645.65 = 146,262.40 : x
  2. Step 2: Convert to fraction form
    267,144.50/368,645.65 = 146,262.40/x
  3. Step 3: Cross multiply
    267,144.50x = 368,645.65 × 146,262.40
  4. Step 4: Simplify right side
    267,144.50x = 53,918,996,231.29
  5. Step 5: Solve for x
    x = 53,918,996,231.29/267,144.50
  6. Step 6: Final answer
    x = 201,834.57

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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.