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Finding the Fourth Proportional to 277,505.64, 382,959.02 and 150,181.28

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Solution

The fourth proportional to 277,505.64, 382,959.02 and 150,181.28 is: 207,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,505.64 : 382,959.02 = 150,181.28 : x
  2. Step 2: Convert to fraction form
    277,505.64/382,959.02 = 150,181.28/x
  3. Step 3: Cross multiply
    277,505.64x = 382,959.02 × 150,181.28
  4. Step 4: Simplify right side
    277,505.64x = 57,513,275,811.15
  5. Step 5: Solve for x
    x = 57,513,275,811.15/277,505.64
  6. Step 6: Final answer
    x = 207,250.84

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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.