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Finding the Fourth Proportional to 201,735.38, 278,395.62 and 121,164.28

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Solution

The fourth proportional to 201,735.38, 278,395.62 and 121,164.28 is: 167,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,735.38 : 278,395.62 = 121,164.28 : x
  2. Step 2: Convert to fraction form
    201,735.38/278,395.62 = 121,164.28/x
  3. Step 3: Cross multiply
    201,735.38x = 278,395.62 × 121,164.28
  4. Step 4: Simplify right side
    201,735.38x = 33,731,603,702.10
  5. Step 5: Solve for x
    x = 33,731,603,702.10/201,735.38
  6. Step 6: Final answer
    x = 167,207.18

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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.