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Finding the Fourth Proportional to 278,999.64, 385,003.14 and 151,674.12

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Solution

The fourth proportional to 278,999.64, 385,003.14 and 151,674.12 is: 209,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,999.64 : 385,003.14 = 151,674.12 : x
  2. Step 2: Convert to fraction form
    278,999.64/385,003.14 = 151,674.12/x
  3. Step 3: Cross multiply
    278,999.64x = 385,003.14 × 151,674.12
  4. Step 4: Simplify right side
    278,999.64x = 58,395,012,456.74
  5. Step 5: Solve for x
    x = 58,395,012,456.74/278,999.64
  6. Step 6: Final answer
    x = 209,301.39

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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.