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Finding the Fourth Proportional to 376,842.30, 565,090.65 and 166,371.90

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Solution

The fourth proportional to 376,842.30, 565,090.65 and 166,371.90 is: 249,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,842.30 : 565,090.65 = 166,371.90 : x
  2. Step 2: Convert to fraction form
    376,842.30/565,090.65 = 166,371.90/x
  3. Step 3: Cross multiply
    376,842.30x = 565,090.65 × 166,371.90
  4. Step 4: Simplify right side
    376,842.30x = 94,015,205,112.74
  5. Step 5: Solve for x
    x = 94,015,205,112.74/376,842.30
  6. Step 6: Final answer
    x = 249,481.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.