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Finding the Fourth Proportional to 213,164.68, 294,163.64 and 117,668.92

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Solution

The fourth proportional to 213,164.68, 294,163.64 and 117,668.92 is: 162,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,164.68 : 294,163.64 = 117,668.92 : x
  2. Step 2: Convert to fraction form
    213,164.68/294,163.64 = 117,668.92/x
  3. Step 3: Cross multiply
    213,164.68x = 294,163.64 × 117,668.92
  4. Step 4: Simplify right side
    213,164.68x = 34,613,917,822.07
  5. Step 5: Solve for x
    x = 34,613,917,822.07/213,164.68
  6. Step 6: Final answer
    x = 162,381.11

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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.