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Finding the Fourth Proportional to 156,358.16, 215,774.42 and 84,738.16

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Solution

The fourth proportional to 156,358.16, 215,774.42 and 84,738.16 is: 116,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,358.16 : 215,774.42 = 84,738.16 : x
  2. Step 2: Convert to fraction form
    156,358.16/215,774.42 = 84,738.16/x
  3. Step 3: Cross multiply
    156,358.16x = 215,774.42 × 84,738.16
  4. Step 4: Simplify right side
    156,358.16x = 18,284,327,325.87
  5. Step 5: Solve for x
    x = 18,284,327,325.87/156,358.16
  6. Step 6: Final answer
    x = 116,938.75

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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.