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Finding the Fourth Proportional to 277,485.78, 382,931.37 and 150,161.34

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Solution

The fourth proportional to 277,485.78, 382,931.37 and 150,161.34 is: 207,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,485.78 : 382,931.37 = 150,161.34 : x
  2. Step 2: Convert to fraction form
    277,485.78/382,931.37 = 150,161.34/x
  3. Step 3: Cross multiply
    277,485.78x = 382,931.37 × 150,161.34
  4. Step 4: Simplify right side
    277,485.78x = 57,501,487,647.24
  5. Step 5: Solve for x
    x = 57,501,487,647.24/277,485.78
  6. Step 6: Final answer
    x = 207,223.19

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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.