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Finding the Fourth Proportional to 266,064.59, 367,176.83 and 145,213.58

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Solution

The fourth proportional to 266,064.59, 367,176.83 and 145,213.58 is: 200,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,064.59 : 367,176.83 = 145,213.58 : x
  2. Step 2: Convert to fraction form
    266,064.59/367,176.83 = 145,213.58/x
  3. Step 3: Cross multiply
    266,064.59x = 367,176.83 × 145,213.58
  4. Step 4: Simplify right side
    266,064.59x = 53,319,061,977.35
  5. Step 5: Solve for x
    x = 53,319,061,977.35/266,064.59
  6. Step 6: Final answer
    x = 200,398.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.