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Finding the Fourth Proportional to 278,335.80, 384,077.57 and 157,486.23

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Solution

The fourth proportional to 278,335.80, 384,077.57 and 157,486.23 is: 217,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,335.80 : 384,077.57 = 157,486.23 : x
  2. Step 2: Convert to fraction form
    278,335.80/384,077.57 = 157,486.23/x
  3. Step 3: Cross multiply
    278,335.80x = 384,077.57 × 157,486.23
  4. Step 4: Simplify right side
    278,335.80x = 60,486,927,739.43
  5. Step 5: Solve for x
    x = 60,486,927,739.43/278,335.80
  6. Step 6: Final answer
    x = 217,316.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.