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Finding the Fourth Proportional to 278,085.96, 383,761.26 and 150,760.98

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Solution

The fourth proportional to 278,085.96, 383,761.26 and 150,760.98 is: 208,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,085.96 : 383,761.26 = 150,760.98 : x
  2. Step 2: Convert to fraction form
    278,085.96/383,761.26 = 150,760.98/x
  3. Step 3: Cross multiply
    278,085.96x = 383,761.26 × 150,760.98
  4. Step 4: Simplify right side
    278,085.96x = 57,856,223,643.63
  5. Step 5: Solve for x
    x = 57,856,223,643.63/278,085.96
  6. Step 6: Final answer
    x = 208,051.58

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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.