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Finding the Fourth Proportional to 278,461.62, 384,277.32 and 151,137.24

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Solution

The fourth proportional to 278,461.62, 384,277.32 and 151,137.24 is: 208,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,461.62 : 384,277.32 = 151,137.24 : x
  2. Step 2: Convert to fraction form
    278,461.62/384,277.32 = 151,137.24/x
  3. Step 3: Cross multiply
    278,461.62x = 384,277.32 × 151,137.24
  4. Step 4: Simplify right side
    278,461.62x = 58,078,613,539.40
  5. Step 5: Solve for x
    x = 58,078,613,539.40/278,461.62
  6. Step 6: Final answer
    x = 208,569.55

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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.