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Finding the Fourth Proportional to 189,211.08, 261,156.78 and 113,745

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Solution

The fourth proportional to 189,211.08, 261,156.78 and 113,745 is: 156,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211.08 : 261,156.78 = 113,745 : x
  2. Step 2: Convert to fraction form
    189,211.08/261,156.78 = 113,745/x
  3. Step 3: Cross multiply
    189,211.08x = 261,156.78 × 113,745
  4. Step 4: Simplify right side
    189,211.08x = 29,705,277,941.10
  5. Step 5: Solve for x
    x = 29,705,277,941.10/189,211.08
  6. Step 6: Final answer
    x = 156,995.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.