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Finding the Fourth Proportional to 267,583.80, 401,246.10 and 149,129.40

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Solution

The fourth proportional to 267,583.80, 401,246.10 and 149,129.40 is: 223,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,583.80 : 401,246.10 = 149,129.40 : x
  2. Step 2: Convert to fraction form
    267,583.80/401,246.10 = 149,129.40/x
  3. Step 3: Cross multiply
    267,583.80x = 401,246.10 × 149,129.40
  4. Step 4: Simplify right side
    267,583.80x = 59,837,590,145.34
  5. Step 5: Solve for x
    x = 59,837,590,145.34/267,583.80
  6. Step 6: Final answer
    x = 223,621.87

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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.