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Finding the Fourth Proportional to 278,122.90, 383,812.14 and 150,798.82

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Solution

The fourth proportional to 278,122.90, 383,812.14 and 150,798.82 is: 208,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,122.90 : 383,812.14 = 150,798.82 : x
  2. Step 2: Convert to fraction form
    278,122.90/383,812.14 = 150,798.82/x
  3. Step 3: Cross multiply
    278,122.90x = 383,812.14 × 150,798.82
  4. Step 4: Simplify right side
    278,122.90x = 57,878,417,813.67
  5. Step 5: Solve for x
    x = 57,878,417,813.67/278,122.90
  6. Step 6: Final answer
    x = 208,103.75

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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.