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Finding the Fourth Proportional to 301,145.09, 415,573.07 and 165,177.83

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Solution

The fourth proportional to 301,145.09, 415,573.07 and 165,177.83 is: 227,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,145.09 : 415,573.07 = 165,177.83 : x
  2. Step 2: Convert to fraction form
    301,145.09/415,573.07 = 165,177.83/x
  3. Step 3: Cross multiply
    301,145.09x = 415,573.07 × 165,177.83
  4. Step 4: Simplify right side
    301,145.09x = 68,643,455,005.28
  5. Step 5: Solve for x
    x = 68,643,455,005.28/301,145.09
  6. Step 6: Final answer
    x = 227,941.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.