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Finding the Fourth Proportional to 278,776.68, 384,684.06 and 157,893.84

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Solution

The fourth proportional to 278,776.68, 384,684.06 and 157,893.84 is: 217,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,776.68 : 384,684.06 = 157,893.84 : x
  2. Step 2: Convert to fraction form
    278,776.68/384,684.06 = 157,893.84/x
  3. Step 3: Cross multiply
    278,776.68x = 384,684.06 × 157,893.84
  4. Step 4: Simplify right side
    278,776.68x = 60,739,243,420.19
  5. Step 5: Solve for x
    x = 60,739,243,420.19/278,776.68
  6. Step 6: Final answer
    x = 217,877.78

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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.