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Finding the Fourth Proportional to 200,796, 277,098.48 and 111,372

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Solution

The fourth proportional to 200,796, 277,098.48 and 111,372 is: 153,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,796 : 277,098.48 = 111,372 : x
  2. Step 2: Convert to fraction form
    200,796/277,098.48 = 111,372/x
  3. Step 3: Cross multiply
    200,796x = 277,098.48 × 111,372
  4. Step 4: Simplify right side
    200,796x = 30,861,011,914.56
  5. Step 5: Solve for x
    x = 30,861,011,914.56/200,796
  6. Step 6: Final answer
    x = 153,693.36

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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.