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Finding the Fourth Proportional to 156,142.96, 215,477.31 and 84,523.57

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Solution

The fourth proportional to 156,142.96, 215,477.31 and 84,523.57 is: 116,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,142.96 : 215,477.31 = 84,523.57 : x
  2. Step 2: Convert to fraction form
    156,142.96/215,477.31 = 84,523.57/x
  3. Step 3: Cross multiply
    156,142.96x = 215,477.31 × 84,523.57
  4. Step 4: Simplify right side
    156,142.96x = 18,212,911,495.20
  5. Step 5: Solve for x
    x = 18,212,911,495.20/156,142.96
  6. Step 6: Final answer
    x = 116,642.54

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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.