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Finding the Fourth Proportional to 278,066.40, 383,733.60 and 150,744

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Solution

The fourth proportional to 278,066.40, 383,733.60 and 150,744 is: 208,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,066.40 : 383,733.60 = 150,744 : x
  2. Step 2: Convert to fraction form
    278,066.40/383,733.60 = 150,744/x
  3. Step 3: Cross multiply
    278,066.40x = 383,733.60 × 150,744
  4. Step 4: Simplify right side
    278,066.40x = 57,845,537,798.40
  5. Step 5: Solve for x
    x = 57,845,537,798.40/278,066.40
  6. Step 6: Final answer
    x = 208,027.79

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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.