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Finding the Fourth Proportional to 278,416.25, 384,214.70 and 151,091.87

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Solution

The fourth proportional to 278,416.25, 384,214.70 and 151,091.87 is: 208,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,416.25 : 384,214.70 = 151,091.87 : x
  2. Step 2: Convert to fraction form
    278,416.25/384,214.70 = 151,091.87/x
  3. Step 3: Cross multiply
    278,416.25x = 384,214.70 × 151,091.87
  4. Step 4: Simplify right side
    278,416.25x = 58,051,716,749.03
  5. Step 5: Solve for x
    x = 58,051,716,749.03/278,416.25
  6. Step 6: Final answer
    x = 208,506.93

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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.