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Finding the Fourth Proportional to 216,463.44, 298,718.64 and 120,970.11

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Solution

The fourth proportional to 216,463.44, 298,718.64 and 120,970.11 is: 166,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.44 : 298,718.64 = 120,970.11 : x
  2. Step 2: Convert to fraction form
    216,463.44/298,718.64 = 120,970.11/x
  3. Step 3: Cross multiply
    216,463.44x = 298,718.64 × 120,970.11
  4. Step 4: Simplify right side
    216,463.44x = 36,136,026,739.85
  5. Step 5: Solve for x
    x = 36,136,026,739.85/216,463.44
  6. Step 6: Final answer
    x = 166,938.24

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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.