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Finding the Fourth Proportional to 216,107.42, 298,256.45 and 120,633.93

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Solution

The fourth proportional to 216,107.42, 298,256.45 and 120,633.93 is: 166,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,107.42 : 298,256.45 = 120,633.93 : x
  2. Step 2: Convert to fraction form
    216,107.42/298,256.45 = 120,633.93/x
  3. Step 3: Cross multiply
    216,107.42x = 298,256.45 × 120,633.93
  4. Step 4: Simplify right side
    216,107.42x = 35,979,847,108.18
  5. Step 5: Solve for x
    x = 35,979,847,108.18/216,107.42
  6. Step 6: Final answer
    x = 166,490.57

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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.