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Finding the Fourth Proportional to 278,999.63, 385,003.14 and 151,674.11

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Solution

The fourth proportional to 278,999.63, 385,003.14 and 151,674.11 is: 209,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,999.63 : 385,003.14 = 151,674.11 : x
  2. Step 2: Convert to fraction form
    278,999.63/385,003.14 = 151,674.11/x
  3. Step 3: Cross multiply
    278,999.63x = 385,003.14 × 151,674.11
  4. Step 4: Simplify right side
    278,999.63x = 58,395,008,606.71
  5. Step 5: Solve for x
    x = 58,395,008,606.71/278,999.63
  6. Step 6: Final answer
    x = 209,301.38

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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.