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Finding the Fourth Proportional to 213,162.58, 294,166.40 and 117,667.22

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Solution

The fourth proportional to 213,162.58, 294,166.40 and 117,667.22 is: 162,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,162.58 : 294,166.40 = 117,667.22 : x
  2. Step 2: Convert to fraction form
    213,162.58/294,166.40 = 117,667.22/x
  3. Step 3: Cross multiply
    213,162.58x = 294,166.40 × 117,667.22
  4. Step 4: Simplify right side
    213,162.58x = 34,613,742,505.41
  5. Step 5: Solve for x
    x = 34,613,742,505.41/213,162.58
  6. Step 6: Final answer
    x = 162,381.89

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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.