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Finding the Fourth Proportional to 213,176.36, 294,181.56 and 117,681

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Solution

The fourth proportional to 213,176.36, 294,181.56 and 117,681 is: 162,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,176.36 : 294,181.56 = 117,681 : x
  2. Step 2: Convert to fraction form
    213,176.36/294,181.56 = 117,681/x
  3. Step 3: Cross multiply
    213,176.36x = 294,181.56 × 117,681
  4. Step 4: Simplify right side
    213,176.36x = 34,619,580,162.36
  5. Step 5: Solve for x
    x = 34,619,580,162.36/213,176.36
  6. Step 6: Final answer
    x = 162,398.78

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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.