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Finding the Fourth Proportional to 216,440.74, 298,682.46 and 120,948.22

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Solution

The fourth proportional to 216,440.74, 298,682.46 and 120,948.22 is: 166,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,440.74 : 298,682.46 = 120,948.22 : x
  2. Step 2: Convert to fraction form
    216,440.74/298,682.46 = 120,948.22/x
  3. Step 3: Cross multiply
    216,440.74x = 298,682.46 × 120,948.22
  4. Step 4: Simplify right side
    216,440.74x = 36,125,111,882.22
  5. Step 5: Solve for x
    x = 36,125,111,882.22/216,440.74
  6. Step 6: Final answer
    x = 166,905.32

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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.