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Finding the Fourth Proportional to 214,107.20, 295,486.08 and 118,643.84

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Solution

The fourth proportional to 214,107.20, 295,486.08 and 118,643.84 is: 163,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,107.20 : 295,486.08 = 118,643.84 : x
  2. Step 2: Convert to fraction form
    214,107.20/295,486.08 = 118,643.84/x
  3. Step 3: Cross multiply
    214,107.20x = 295,486.08 × 118,643.84
  4. Step 4: Simplify right side
    214,107.20x = 35,057,603,197.75
  5. Step 5: Solve for x
    x = 35,057,603,197.75/214,107.20
  6. Step 6: Final answer
    x = 163,738.55

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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.