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Finding the Fourth Proportional to 232,769.31, 349,307.07 and 127,662.09

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Solution

The fourth proportional to 232,769.31, 349,307.07 and 127,662.09 is: 191,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,769.31 : 349,307.07 = 127,662.09 : x
  2. Step 2: Convert to fraction form
    232,769.31/349,307.07 = 127,662.09/x
  3. Step 3: Cross multiply
    232,769.31x = 349,307.07 × 127,662.09
  4. Step 4: Simplify right side
    232,769.31x = 44,593,270,607.98
  5. Step 5: Solve for x
    x = 44,593,270,607.98/232,769.31
  6. Step 6: Final answer
    x = 191,577.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.