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Finding the Fourth Proportional to 213,174.33, 294,181.52 and 117,681.81

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Solution

The fourth proportional to 213,174.33, 294,181.52 and 117,681.81 is: 162,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,174.33 : 294,181.52 = 117,681.81 : x
  2. Step 2: Convert to fraction form
    213,174.33/294,181.52 = 117,681.81/x
  3. Step 3: Cross multiply
    213,174.33x = 294,181.52 × 117,681.81
  4. Step 4: Simplify right side
    213,174.33x = 34,619,813,153.74
  5. Step 5: Solve for x
    x = 34,619,813,153.74/213,174.33
  6. Step 6: Final answer
    x = 162,401.42

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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.