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Finding the Fourth Proportional to 266,872.08, 400,197.36 and 98,402

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Solution

The fourth proportional to 266,872.08, 400,197.36 and 98,402 is: 147,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,872.08 : 400,197.36 = 98,402 : x
  2. Step 2: Convert to fraction form
    266,872.08/400,197.36 = 98,402/x
  3. Step 3: Cross multiply
    266,872.08x = 400,197.36 × 98,402
  4. Step 4: Simplify right side
    266,872.08x = 39,380,220,618.72
  5. Step 5: Solve for x
    x = 39,380,220,618.72/266,872.08
  6. Step 6: Final answer
    x = 147,562.16

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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.