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Finding the Fourth Proportional to 201,669.12, 278,426.88 and 133,745.28

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Solution

The fourth proportional to 201,669.12, 278,426.88 and 133,745.28 is: 184,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,669.12 : 278,426.88 = 133,745.28 : x
  2. Step 2: Convert to fraction form
    201,669.12/278,426.88 = 133,745.28/x
  3. Step 3: Cross multiply
    201,669.12x = 278,426.88 × 133,745.28
  4. Step 4: Simplify right side
    201,669.12x = 37,238,281,025.13
  5. Step 5: Solve for x
    x = 37,238,281,025.13/201,669.12
  6. Step 6: Final answer
    x = 184,650.39

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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.