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Finding the Fourth Proportional to 266,803.24, 400,258.42 and 98,324.44

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Solution

The fourth proportional to 266,803.24, 400,258.42 and 98,324.44 is: 147,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,803.24 : 400,258.42 = 98,324.44 : x
  2. Step 2: Convert to fraction form
    266,803.24/400,258.42 = 98,324.44/x
  3. Step 3: Cross multiply
    266,803.24x = 400,258.42 × 98,324.44
  4. Step 4: Simplify right side
    266,803.24x = 39,355,186,638.78
  5. Step 5: Solve for x
    x = 39,355,186,638.78/266,803.24
  6. Step 6: Final answer
    x = 147,506.41

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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.