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Finding the Fourth Proportional to 201,745.08, 278,395.38 and 121,176

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Solution

The fourth proportional to 201,745.08, 278,395.38 and 121,176 is: 167,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,745.08 : 278,395.38 = 121,176 : x
  2. Step 2: Convert to fraction form
    201,745.08/278,395.38 = 121,176/x
  3. Step 3: Cross multiply
    201,745.08x = 278,395.38 × 121,176
  4. Step 4: Simplify right side
    201,745.08x = 33,734,838,566.88
  5. Step 5: Solve for x
    x = 33,734,838,566.88/201,745.08
  6. Step 6: Final answer
    x = 167,215.17

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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.