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Finding the Fourth Proportional to 301,903.02, 416,633.22 and 165,935.88

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Solution

The fourth proportional to 301,903.02, 416,633.22 and 165,935.88 is: 228,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,903.02 : 416,633.22 = 165,935.88 : x
  2. Step 2: Convert to fraction form
    301,903.02/416,633.22 = 165,935.88/x
  3. Step 3: Cross multiply
    301,903.02x = 416,633.22 × 165,935.88
  4. Step 4: Simplify right side
    301,903.02x = 69,134,399,997.93
  5. Step 5: Solve for x
    x = 69,134,399,997.93/301,903.02
  6. Step 6: Final answer
    x = 228,995.39

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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.