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Finding the Fourth Proportional to 277,137.59, 382,194.86 and 174,986.46

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Solution

The fourth proportional to 277,137.59, 382,194.86 and 174,986.46 is: 241,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137.59 : 382,194.86 = 174,986.46 : x
  2. Step 2: Convert to fraction form
    277,137.59/382,194.86 = 174,986.46/x
  3. Step 3: Cross multiply
    277,137.59x = 382,194.86 × 174,986.46
  4. Step 4: Simplify right side
    277,137.59x = 66,878,924,706.66
  5. Step 5: Solve for x
    x = 66,878,924,706.66/277,137.59
  6. Step 6: Final answer
    x = 241,320.30

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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.