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Finding the Fourth Proportional to 189,211.50, 283,892.98 and 76,900.34

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Solution

The fourth proportional to 189,211.50, 283,892.98 and 76,900.34 is: 115,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211.50 : 283,892.98 = 76,900.34 : x
  2. Step 2: Convert to fraction form
    189,211.50/283,892.98 = 76,900.34/x
  3. Step 3: Cross multiply
    189,211.50x = 283,892.98 × 76,900.34
  4. Step 4: Simplify right side
    189,211.50x = 21,831,466,685.61
  5. Step 5: Solve for x
    x = 21,831,466,685.61/189,211.50
  6. Step 6: Final answer
    x = 115,381.29

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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.