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Finding the Fourth Proportional to 278,538.64, 384,387.96 and 151,214.26

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Solution

The fourth proportional to 278,538.64, 384,387.96 and 151,214.26 is: 208,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,538.64 : 384,387.96 = 151,214.26 : x
  2. Step 2: Convert to fraction form
    278,538.64/384,387.96 = 151,214.26/x
  3. Step 3: Cross multiply
    278,538.64x = 384,387.96 × 151,214.26
  4. Step 4: Simplify right side
    278,538.64x = 58,124,940,924.31
  5. Step 5: Solve for x
    x = 58,124,940,924.31/278,538.64
  6. Step 6: Final answer
    x = 208,678.20

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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.