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Finding the Fourth Proportional to 211,595.14, 291,991.26 and 116,099.92

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Solution

The fourth proportional to 211,595.14, 291,991.26 and 116,099.92 is: 160,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,595.14 : 291,991.26 = 116,099.92 : x
  2. Step 2: Convert to fraction form
    211,595.14/291,991.26 = 116,099.92/x
  3. Step 3: Cross multiply
    211,595.14x = 291,991.26 × 116,099.92
  4. Step 4: Simplify right side
    211,595.14x = 33,900,161,926.70
  5. Step 5: Solve for x
    x = 33,900,161,926.70/211,595.14
  6. Step 6: Final answer
    x = 160,212.38

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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.