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Finding the Fourth Proportional to 197,458.36, 295,919.10 and 83,511.42

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Solution

The fourth proportional to 197,458.36, 295,919.10 and 83,511.42 is: 125,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,458.36 : 295,919.10 = 83,511.42 : x
  2. Step 2: Convert to fraction form
    197,458.36/295,919.10 = 83,511.42/x
  3. Step 3: Cross multiply
    197,458.36x = 295,919.10 × 83,511.42
  4. Step 4: Simplify right side
    197,458.36x = 24,712,624,246.12
  5. Step 5: Solve for x
    x = 24,712,624,246.12/197,458.36
  6. Step 6: Final answer
    x = 125,153.60

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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.