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Finding the Fourth Proportional to 267,743.41, 401,068.36 and 149,477.74

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Solution

The fourth proportional to 267,743.41, 401,068.36 and 149,477.74 is: 223,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,743.41 : 401,068.36 = 149,477.74 : x
  2. Step 2: Convert to fraction form
    267,743.41/401,068.36 = 149,477.74/x
  3. Step 3: Cross multiply
    267,743.41x = 401,068.36 × 149,477.74
  4. Step 4: Simplify right side
    267,743.41x = 59,950,791,222.48
  5. Step 5: Solve for x
    x = 59,950,791,222.48/267,743.41
  6. Step 6: Final answer
    x = 223,911.36

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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.