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Finding the Fourth Proportional to 278,458.43, 384,273 and 151,133.99

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Solution

The fourth proportional to 278,458.43, 384,273 and 151,133.99 is: 208,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,458.43 : 384,273 = 151,133.99 : x
  2. Step 2: Convert to fraction form
    278,458.43/384,273 = 151,133.99/x
  3. Step 3: Cross multiply
    278,458.43x = 384,273 × 151,133.99
  4. Step 4: Simplify right side
    278,458.43x = 58,076,709,817.91
  5. Step 5: Solve for x
    x = 58,076,709,817.91/278,458.43
  6. Step 6: Final answer
    x = 208,565.10

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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.