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Finding the Fourth Proportional to 200,770.31, 277,060.82 and 110,125.94

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Solution

The fourth proportional to 200,770.31, 277,060.82 and 110,125.94 is: 151,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.31 : 277,060.82 = 110,125.94 : x
  2. Step 2: Convert to fraction form
    200,770.31/277,060.82 = 110,125.94/x
  3. Step 3: Cross multiply
    200,770.31x = 277,060.82 × 110,125.94
  4. Step 4: Simplify right side
    200,770.31x = 30,511,581,303.74
  5. Step 5: Solve for x
    x = 30,511,581,303.74/200,770.31
  6. Step 6: Final answer
    x = 151,972.58

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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.