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Finding the Fourth Proportional to 301,078.02, 415,449.50 and 165,076.19

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Solution

The fourth proportional to 301,078.02, 415,449.50 and 165,076.19 is: 227,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,078.02 : 415,449.50 = 165,076.19 : x
  2. Step 2: Convert to fraction form
    301,078.02/415,449.50 = 165,076.19/x
  3. Step 3: Cross multiply
    301,078.02x = 415,449.50 × 165,076.19
  4. Step 4: Simplify right side
    301,078.02x = 68,580,817,694.78
  5. Step 5: Solve for x
    x = 68,580,817,694.78/301,078.02
  6. Step 6: Final answer
    x = 227,784.21

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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.