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Finding the Fourth Proportional to 278,838.54, 384,796.46 and 151,514.15

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Solution

The fourth proportional to 278,838.54, 384,796.46 and 151,514.15 is: 209,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,838.54 : 384,796.46 = 151,514.15 : x
  2. Step 2: Convert to fraction form
    278,838.54/384,796.46 = 151,514.15/x
  3. Step 3: Cross multiply
    278,838.54x = 384,796.46 × 151,514.15
  4. Step 4: Simplify right side
    278,838.54x = 58,302,107,014.71
  5. Step 5: Solve for x
    x = 58,302,107,014.71/278,838.54
  6. Step 6: Final answer
    x = 209,089.13

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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.