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Finding the Fourth Proportional to 277,781.52, 416,682.54 and 142,809.44

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Solution

The fourth proportional to 277,781.52, 416,682.54 and 142,809.44 is: 214,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,781.52 : 416,682.54 = 142,809.44 : x
  2. Step 2: Convert to fraction form
    277,781.52/416,682.54 = 142,809.44/x
  3. Step 3: Cross multiply
    277,781.52x = 416,682.54 × 142,809.44
  4. Step 4: Simplify right side
    277,781.52x = 59,506,200,195.18
  5. Step 5: Solve for x
    x = 59,506,200,195.18/277,781.52
  6. Step 6: Final answer
    x = 214,219.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.