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Finding the Fourth Proportional to 267,823.13, 401,758.28 and 99,345.25

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Solution

The fourth proportional to 267,823.13, 401,758.28 and 99,345.25 is: 149,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,823.13 : 401,758.28 = 99,345.25 : x
  2. Step 2: Convert to fraction form
    267,823.13/401,758.28 = 99,345.25/x
  3. Step 3: Cross multiply
    267,823.13x = 401,758.28 × 99,345.25
  4. Step 4: Simplify right side
    267,823.13x = 39,912,778,270.03
  5. Step 5: Solve for x
    x = 39,912,778,270.03/267,823.13
  6. Step 6: Final answer
    x = 149,026.63

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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.