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Finding the Fourth Proportional to 266,164.78, 367,312.95 and 145,311.16

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Solution

The fourth proportional to 266,164.78, 367,312.95 and 145,311.16 is: 200,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,164.78 : 367,312.95 = 145,311.16 : x
  2. Step 2: Convert to fraction form
    266,164.78/367,312.95 = 145,311.16/x
  3. Step 3: Cross multiply
    266,164.78x = 367,312.95 × 145,311.16
  4. Step 4: Simplify right side
    266,164.78x = 53,374,669,010.96
  5. Step 5: Solve for x
    x = 53,374,669,010.96/266,164.78
  6. Step 6: Final answer
    x = 200,532.43

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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.