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Finding the Fourth Proportional to 201,853.08, 278,543.88 and 121,284

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Solution

The fourth proportional to 201,853.08, 278,543.88 and 121,284 is: 167,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,853.08 : 278,543.88 = 121,284 : x
  2. Step 2: Convert to fraction form
    201,853.08/278,543.88 = 121,284/x
  3. Step 3: Cross multiply
    201,853.08x = 278,543.88 × 121,284
  4. Step 4: Simplify right side
    201,853.08x = 33,782,915,941.92
  5. Step 5: Solve for x
    x = 33,782,915,941.92/201,853.08
  6. Step 6: Final answer
    x = 167,363.89

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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.