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Finding the Fourth Proportional to 197,069.68, 295,599.48 and 54,914.32

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Solution

The fourth proportional to 197,069.68, 295,599.48 and 54,914.32 is: 82,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,069.68 : 295,599.48 = 54,914.32 : x
  2. Step 2: Convert to fraction form
    197,069.68/295,599.48 = 54,914.32/x
  3. Step 3: Cross multiply
    197,069.68x = 295,599.48 × 54,914.32
  4. Step 4: Simplify right side
    197,069.68x = 16,232,644,436.55
  5. Step 5: Solve for x
    x = 16,232,644,436.55/197,069.68
  6. Step 6: Final answer
    x = 82,370.08

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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.