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Finding the Fourth Proportional to 216,317.78, 298,516.73 and 119,521.32

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Solution

The fourth proportional to 216,317.78, 298,516.73 and 119,521.32 is: 164,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,317.78 : 298,516.73 = 119,521.32 : x
  2. Step 2: Convert to fraction form
    216,317.78/298,516.73 = 119,521.32/x
  3. Step 3: Cross multiply
    216,317.78x = 298,516.73 × 119,521.32
  4. Step 4: Simplify right side
    216,317.78x = 35,679,113,910.49
  5. Step 5: Solve for x
    x = 35,679,113,910.49/216,317.78
  6. Step 6: Final answer
    x = 164,938.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.