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Finding the Fourth Proportional to 213,160.58, 294,163.64 and 117,665.22

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Solution

The fourth proportional to 213,160.58, 294,163.64 and 117,665.22 is: 162,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,160.58 : 294,163.64 = 117,665.22 : x
  2. Step 2: Convert to fraction form
    213,160.58/294,163.64 = 117,665.22/x
  3. Step 3: Cross multiply
    213,160.58x = 294,163.64 × 117,665.22
  4. Step 4: Simplify right side
    213,160.58x = 34,612,829,416.60
  5. Step 5: Solve for x
    x = 34,612,829,416.60/213,160.58
  6. Step 6: Final answer
    x = 162,379.13

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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.