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Finding the Fourth Proportional to 213,161.04, 294,164.64 and 117,667.80

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Solution

The fourth proportional to 213,161.04, 294,164.64 and 117,667.80 is: 162,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,161.04 : 294,164.64 = 117,667.80 : x
  2. Step 2: Convert to fraction form
    213,161.04/294,164.64 = 117,667.80/x
  3. Step 3: Cross multiply
    213,161.04x = 294,164.64 × 117,667.80
  4. Step 4: Simplify right side
    213,161.04x = 34,613,706,026.59
  5. Step 5: Solve for x
    x = 34,613,706,026.59/213,161.04
  6. Step 6: Final answer
    x = 162,382.89

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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.