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Finding the Fourth Proportional to 197,213.60, 295,820.40 and 55,058.60

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Solution

The fourth proportional to 197,213.60, 295,820.40 and 55,058.60 is: 82,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,213.60 : 295,820.40 = 55,058.60 : x
  2. Step 2: Convert to fraction form
    197,213.60/295,820.40 = 55,058.60/x
  3. Step 3: Cross multiply
    197,213.60x = 295,820.40 × 55,058.60
  4. Step 4: Simplify right side
    197,213.60x = 16,287,457,075.44
  5. Step 5: Solve for x
    x = 16,287,457,075.44/197,213.60
  6. Step 6: Final answer
    x = 82,587.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.