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Finding the Fourth Proportional to 213,161.58, 294,165.03 and 117,666.23

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Solution

The fourth proportional to 213,161.58, 294,165.03 and 117,666.23 is: 162,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,161.58 : 294,165.03 = 117,666.23 : x
  2. Step 2: Convert to fraction form
    213,161.58/294,165.03 = 117,666.23/x
  3. Step 3: Cross multiply
    213,161.58x = 294,165.03 × 117,666.23
  4. Step 4: Simplify right side
    213,161.58x = 34,613,288,607.11
  5. Step 5: Solve for x
    x = 34,613,288,607.11/213,161.58
  6. Step 6: Final answer
    x = 162,380.52

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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.