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Finding the Fourth Proportional to 301,027.14, 415,422.14 and 165,073.50

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Solution

The fourth proportional to 301,027.14, 415,422.14 and 165,073.50 is: 227,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,027.14 : 415,422.14 = 165,073.50 : x
  2. Step 2: Convert to fraction form
    301,027.14/415,422.14 = 165,073.50/x
  3. Step 3: Cross multiply
    301,027.14x = 415,422.14 × 165,073.50
  4. Step 4: Simplify right side
    301,027.14x = 68,575,185,801.92
  5. Step 5: Solve for x
    x = 68,575,185,801.92/301,027.14
  6. Step 6: Final answer
    x = 227,804.00

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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.