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Finding the Fourth Proportional to 202,533.12, 279,494.37 and 111,894.93

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Solution

The fourth proportional to 202,533.12, 279,494.37 and 111,894.93 is: 154,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,533.12 : 279,494.37 = 111,894.93 : x
  2. Step 2: Convert to fraction form
    202,533.12/279,494.37 = 111,894.93/x
  3. Step 3: Cross multiply
    202,533.12x = 279,494.37 × 111,894.93
  4. Step 4: Simplify right side
    202,533.12x = 31,274,002,966.54
  5. Step 5: Solve for x
    x = 31,274,002,966.54/202,533.12
  6. Step 6: Final answer
    x = 154,414.27

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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.