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Finding the Fourth Proportional to 277,510.49, 382,964.47 and 150,186.08

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Solution

The fourth proportional to 277,510.49, 382,964.47 and 150,186.08 is: 207,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,510.49 : 382,964.47 = 150,186.08 : x
  2. Step 2: Convert to fraction form
    277,510.49/382,964.47 = 150,186.08/x
  3. Step 3: Cross multiply
    277,510.49x = 382,964.47 × 150,186.08
  4. Step 4: Simplify right side
    277,510.49x = 57,515,932,528.58
  5. Step 5: Solve for x
    x = 57,515,932,528.58/277,510.49
  6. Step 6: Final answer
    x = 207,256.79

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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.