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Finding the Fourth Proportional to 267,477.34, 400,933.16 and 98,889.38

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Solution

The fourth proportional to 267,477.34, 400,933.16 and 98,889.38 is: 148,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,477.34 : 400,933.16 = 98,889.38 : x
  2. Step 2: Convert to fraction form
    267,477.34/400,933.16 = 98,889.38/x
  3. Step 3: Cross multiply
    267,477.34x = 400,933.16 × 98,889.38
  4. Step 4: Simplify right side
    267,477.34x = 39,648,031,119.39
  5. Step 5: Solve for x
    x = 39,648,031,119.39/267,477.34
  6. Step 6: Final answer
    x = 148,229.50

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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.