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Finding the Fourth Proportional to 211,291.92, 291,585.14 and 115,796.56

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Solution

The fourth proportional to 211,291.92, 291,585.14 and 115,796.56 is: 159,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,291.92 : 291,585.14 = 115,796.56 : x
  2. Step 2: Convert to fraction form
    211,291.92/291,585.14 = 115,796.56/x
  3. Step 3: Cross multiply
    211,291.92x = 291,585.14 × 115,796.56
  4. Step 4: Simplify right side
    211,291.92x = 33,764,556,159.12
  5. Step 5: Solve for x
    x = 33,764,556,159.12/211,291.92
  6. Step 6: Final answer
    x = 159,800.51

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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.