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Finding the Fourth Proportional to 761,108, 1,141,729.43 and 200,142.50

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Solution

The fourth proportional to 761,108, 1,141,729.43 and 200,142.50 is: 300,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,108 : 1,141,729.43 = 200,142.50 : x
  2. Step 2: Convert to fraction form
    761,108/1,141,729.43 = 200,142.50/x
  3. Step 3: Cross multiply
    761,108x = 1,141,729.43 × 200,142.50
  4. Step 4: Simplify right side
    761,108x = 228,508,582,944.13
  5. Step 5: Solve for x
    x = 228,508,582,944.13/761,108
  6. Step 6: Final answer
    x = 300,231.48

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