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Finding the Fourth Proportional to 278,967.88, 384,975.96 and 151,643.48

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Solution

The fourth proportional to 278,967.88, 384,975.96 and 151,643.48 is: 209,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,967.88 : 384,975.96 = 151,643.48 : x
  2. Step 2: Convert to fraction form
    278,967.88/384,975.96 = 151,643.48/x
  3. Step 3: Cross multiply
    278,967.88x = 384,975.96 × 151,643.48
  4. Step 4: Simplify right side
    278,967.88x = 58,379,094,290.74
  5. Step 5: Solve for x
    x = 58,379,094,290.74/278,967.88
  6. Step 6: Final answer
    x = 209,268.16

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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.