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Finding the Fourth Proportional to 301,301.74, 415,795.26 and 165,337.96

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Solution

The fourth proportional to 301,301.74, 415,795.26 and 165,337.96 is: 228,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,301.74 : 415,795.26 = 165,337.96 : x
  2. Step 2: Convert to fraction form
    301,301.74/415,795.26 = 165,337.96/x
  3. Step 3: Cross multiply
    301,301.74x = 415,795.26 × 165,337.96
  4. Step 4: Simplify right side
    301,301.74x = 68,746,740,066.07
  5. Step 5: Solve for x
    x = 68,746,740,066.07/301,301.74
  6. Step 6: Final answer
    x = 228,165.76

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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.