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Finding the Fourth Proportional to 200,882.58, 277,222.14 and 110,233.26

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Solution

The fourth proportional to 200,882.58, 277,222.14 and 110,233.26 is: 152,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,882.58 : 277,222.14 = 110,233.26 : x
  2. Step 2: Convert to fraction form
    200,882.58/277,222.14 = 110,233.26/x
  3. Step 3: Cross multiply
    200,882.58x = 277,222.14 × 110,233.26
  4. Step 4: Simplify right side
    200,882.58x = 30,559,100,236.38
  5. Step 5: Solve for x
    x = 30,559,100,236.38/200,882.58
  6. Step 6: Final answer
    x = 152,124.19

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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.