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Finding the Fourth Proportional to 277,396.38, 382,807.89 and 150,073.02

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Solution

The fourth proportional to 277,396.38, 382,807.89 and 150,073.02 is: 207,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,396.38 : 382,807.89 = 150,073.02 : x
  2. Step 2: Convert to fraction form
    277,396.38/382,807.89 = 150,073.02/x
  3. Step 3: Cross multiply
    277,396.38x = 382,807.89 × 150,073.02
  4. Step 4: Simplify right side
    277,396.38x = 57,449,136,132.13
  5. Step 5: Solve for x
    x = 57,449,136,132.13/277,396.38
  6. Step 6: Final answer
    x = 207,101.25

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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.