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Finding the Fourth Proportional to 211,512.84, 291,906.12 and 116,037.96

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Solution

The fourth proportional to 211,512.84, 291,906.12 and 116,037.96 is: 160,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,512.84 : 291,906.12 = 116,037.96 : x
  2. Step 2: Convert to fraction form
    211,512.84/291,906.12 = 116,037.96/x
  3. Step 3: Cross multiply
    211,512.84x = 291,906.12 × 116,037.96
  4. Step 4: Simplify right side
    211,512.84x = 33,872,190,676.32
  5. Step 5: Solve for x
    x = 33,872,190,676.32/211,512.84
  6. Step 6: Final answer
    x = 160,142.48

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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.