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Finding the Fourth Proportional to 156,122, 215,541.24 and 102,500.96

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Solution

The fourth proportional to 156,122, 215,541.24 and 102,500.96 is: 141,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,122 : 215,541.24 = 102,500.96 : x
  2. Step 2: Convert to fraction form
    156,122/215,541.24 = 102,500.96/x
  3. Step 3: Cross multiply
    156,122x = 215,541.24 × 102,500.96
  4. Step 4: Simplify right side
    156,122x = 22,093,184,019.59
  5. Step 5: Solve for x
    x = 22,093,184,019.59/156,122
  6. Step 6: Final answer
    x = 141,512.30

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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.