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Finding the Fourth Proportional to 277,724.94, 383,259.84 and 150,400.14

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Solution

The fourth proportional to 277,724.94, 383,259.84 and 150,400.14 is: 207,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,724.94 : 383,259.84 = 150,400.14 : x
  2. Step 2: Convert to fraction form
    277,724.94/383,259.84 = 150,400.14/x
  3. Step 3: Cross multiply
    277,724.94x = 383,259.84 × 150,400.14
  4. Step 4: Simplify right side
    277,724.94x = 57,642,333,592.38
  5. Step 5: Solve for x
    x = 57,642,333,592.38/277,724.94
  6. Step 6: Final answer
    x = 207,551.88

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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.