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Finding the Fourth Proportional to 202,647, 279,667.34 and 112,001.02

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Solution

The fourth proportional to 202,647, 279,667.34 and 112,001.02 is: 154,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,647 : 279,667.34 = 112,001.02 : x
  2. Step 2: Convert to fraction form
    202,647/279,667.34 = 112,001.02/x
  3. Step 3: Cross multiply
    202,647x = 279,667.34 × 112,001.02
  4. Step 4: Simplify right side
    202,647x = 31,323,027,340.69
  5. Step 5: Solve for x
    x = 31,323,027,340.69/202,647
  6. Step 6: Final answer
    x = 154,569.41

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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.