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Finding the Fourth Proportional to 211,408.38, 291,746.41 and 115,914.85

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Solution

The fourth proportional to 211,408.38, 291,746.41 and 115,914.85 is: 159,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,408.38 : 291,746.41 = 115,914.85 : x
  2. Step 2: Convert to fraction form
    211,408.38/291,746.41 = 115,914.85/x
  3. Step 3: Cross multiply
    211,408.38x = 291,746.41 × 115,914.85
  4. Step 4: Simplify right side
    211,408.38x = 33,817,740,334.04
  5. Step 5: Solve for x
    x = 33,817,740,334.04/211,408.38
  6. Step 6: Final answer
    x = 159,964.05

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Why These Related Problems?

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