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Finding the Fourth Proportional to 277,243.38, 382,594.05 and 149,918.40

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Solution

The fourth proportional to 277,243.38, 382,594.05 and 149,918.40 is: 206,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,243.38 : 382,594.05 = 149,918.40 : x
  2. Step 2: Convert to fraction form
    277,243.38/382,594.05 = 149,918.40/x
  3. Step 3: Cross multiply
    277,243.38x = 382,594.05 × 149,918.40
  4. Step 4: Simplify right side
    277,243.38x = 57,357,887,825.52
  5. Step 5: Solve for x
    x = 57,357,887,825.52/277,243.38
  6. Step 6: Final answer
    x = 206,886.41

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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.