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Finding the Fourth Proportional to 165,527.89, 228,412.70 and 92,914.15

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Solution

The fourth proportional to 165,527.89, 228,412.70 and 92,914.15 is: 128,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,527.89 : 228,412.70 = 92,914.15 : x
  2. Step 2: Convert to fraction form
    165,527.89/228,412.70 = 92,914.15/x
  3. Step 3: Cross multiply
    165,527.89x = 228,412.70 × 92,914.15
  4. Step 4: Simplify right side
    165,527.89x = 21,222,770,834.10
  5. Step 5: Solve for x
    x = 21,222,770,834.10/165,527.89
  6. Step 6: Final answer
    x = 128,212.66

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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.