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Finding the Fourth Proportional to 277,833, 383,409.54 and 150,508.56

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Solution

The fourth proportional to 277,833, 383,409.54 and 150,508.56 is: 207,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,833 : 383,409.54 = 150,508.56 : x
  2. Step 2: Convert to fraction form
    277,833/383,409.54 = 150,508.56/x
  3. Step 3: Cross multiply
    277,833x = 383,409.54 × 150,508.56
  4. Step 4: Simplify right side
    277,833x = 57,706,417,755.66
  5. Step 5: Solve for x
    x = 57,706,417,755.66/277,833
  6. Step 6: Final answer
    x = 207,701.81

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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.