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Finding the Fourth Proportional to 165,709.84, 228,606.84 and 111,975.28

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Solution

The fourth proportional to 165,709.84, 228,606.84 and 111,975.28 is: 154,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,709.84 : 228,606.84 = 111,975.28 : x
  2. Step 2: Convert to fraction form
    165,709.84/228,606.84 = 111,975.28/x
  3. Step 3: Cross multiply
    165,709.84x = 228,606.84 × 111,975.28
  4. Step 4: Simplify right side
    165,709.84x = 25,598,314,918.92
  5. Step 5: Solve for x
    x = 25,598,314,918.92/165,709.84
  6. Step 6: Final answer
    x = 154,476.73

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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.