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Finding the Fourth Proportional to 216,322.29, 298,522.92 and 119,525.82

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Solution

The fourth proportional to 216,322.29, 298,522.92 and 119,525.82 is: 164,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,322.29 : 298,522.92 = 119,525.82 : x
  2. Step 2: Convert to fraction form
    216,322.29/298,522.92 = 119,525.82/x
  3. Step 3: Cross multiply
    216,322.29x = 298,522.92 × 119,525.82
  4. Step 4: Simplify right side
    216,322.29x = 35,681,196,801.79
  5. Step 5: Solve for x
    x = 35,681,196,801.79/216,322.29
  6. Step 6: Final answer
    x = 164,944.61

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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.