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Finding the Fourth Proportional to 277,164.69, 382,487.18 and 149,840.25

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Solution

The fourth proportional to 277,164.69, 382,487.18 and 149,840.25 is: 206,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,164.69 : 382,487.18 = 149,840.25 : x
  2. Step 2: Convert to fraction form
    277,164.69/382,487.18 = 149,840.25/x
  3. Step 3: Cross multiply
    277,164.69x = 382,487.18 × 149,840.25
  4. Step 4: Simplify right side
    277,164.69x = 57,311,973,923.79
  5. Step 5: Solve for x
    x = 57,311,973,923.79/277,164.69
  6. Step 6: Final answer
    x = 206,779.49

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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.