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Finding the Fourth Proportional to 213,164.48, 294,165.36 and 117,671.24

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Solution

The fourth proportional to 213,164.48, 294,165.36 and 117,671.24 is: 162,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,164.48 : 294,165.36 = 117,671.24 : x
  2. Step 2: Convert to fraction form
    213,164.48/294,165.36 = 117,671.24/x
  3. Step 3: Cross multiply
    213,164.48x = 294,165.36 × 117,671.24
  4. Step 4: Simplify right side
    213,164.48x = 34,614,802,676.25
  5. Step 5: Solve for x
    x = 34,614,802,676.25/213,164.48
  6. Step 6: Final answer
    x = 162,385.42

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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.