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Finding the Fourth Proportional to 277,398.50, 382,812.70 and 150,076.83

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Solution

The fourth proportional to 277,398.50, 382,812.70 and 150,076.83 is: 207,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,398.50 : 382,812.70 = 150,076.83 : x
  2. Step 2: Convert to fraction form
    277,398.50/382,812.70 = 150,076.83/x
  3. Step 3: Cross multiply
    277,398.50x = 382,812.70 × 150,076.83
  4. Step 4: Simplify right side
    277,398.50x = 57,451,316,499.74
  5. Step 5: Solve for x
    x = 57,451,316,499.74/277,398.50
  6. Step 6: Final answer
    x = 207,107.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.