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Finding the Fourth Proportional to 216,682.12, 324,673.26 and 83,406.34

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Solution

The fourth proportional to 216,682.12, 324,673.26 and 83,406.34 is: 124,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,682.12 : 324,673.26 = 83,406.34 : x
  2. Step 2: Convert to fraction form
    216,682.12/324,673.26 = 83,406.34/x
  3. Step 3: Cross multiply
    216,682.12x = 324,673.26 × 83,406.34
  4. Step 4: Simplify right side
    216,682.12x = 27,079,808,312.47
  5. Step 5: Solve for x
    x = 27,079,808,312.47/216,682.12
  6. Step 6: Final answer
    x = 124,974.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.