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Finding the Fourth Proportional to 278,007.63, 383,646.38 and 157,144.68

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Solution

The fourth proportional to 278,007.63, 383,646.38 and 157,144.68 is: 216,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,007.63 : 383,646.38 = 157,144.68 : x
  2. Step 2: Convert to fraction form
    278,007.63/383,646.38 = 157,144.68/x
  3. Step 3: Cross multiply
    278,007.63x = 383,646.38 × 157,144.68
  4. Step 4: Simplify right side
    278,007.63x = 60,287,987,618.26
  5. Step 5: Solve for x
    x = 60,287,987,618.26/278,007.63
  6. Step 6: Final answer
    x = 216,857.31

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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.