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Finding the Fourth Proportional to 165,808.34, 228,652.96 and 105,273.89

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Solution

The fourth proportional to 165,808.34, 228,652.96 and 105,273.89 is: 145,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,808.34 : 228,652.96 = 105,273.89 : x
  2. Step 2: Convert to fraction form
    165,808.34/228,652.96 = 105,273.89/x
  3. Step 3: Cross multiply
    165,808.34x = 228,652.96 × 105,273.89
  4. Step 4: Simplify right side
    165,808.34x = 24,071,186,867.66
  5. Step 5: Solve for x
    x = 24,071,186,867.66/165,808.34
  6. Step 6: Final answer
    x = 145,174.76

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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.