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Finding the Fourth Proportional to 301,257.64, 415,739.76 and 165,289.08

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Solution

The fourth proportional to 301,257.64, 415,739.76 and 165,289.08 is: 228,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,257.64 : 415,739.76 = 165,289.08 : x
  2. Step 2: Convert to fraction form
    301,257.64/415,739.76 = 165,289.08/x
  3. Step 3: Cross multiply
    301,257.64x = 415,739.76 × 165,289.08
  4. Step 4: Simplify right side
    301,257.64x = 68,717,242,449.82
  5. Step 5: Solve for x
    x = 68,717,242,449.82/301,257.64
  6. Step 6: Final answer
    x = 228,101.24

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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.