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Finding the Fourth Proportional to 200,887.50, 277,224.75 and 111,463.50

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Solution

The fourth proportional to 200,887.50, 277,224.75 and 111,463.50 is: 153,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,887.50 : 277,224.75 = 111,463.50 : x
  2. Step 2: Convert to fraction form
    200,887.50/277,224.75 = 111,463.50/x
  3. Step 3: Cross multiply
    200,887.50x = 277,224.75 × 111,463.50
  4. Step 4: Simplify right side
    200,887.50x = 30,900,440,921.63
  5. Step 5: Solve for x
    x = 30,900,440,921.63/200,887.50
  6. Step 6: Final answer
    x = 153,819.63

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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.