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Finding the Fourth Proportional to 197,299.52, 295,764.56 and 96,075.44

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Solution

The fourth proportional to 197,299.52, 295,764.56 and 96,075.44 is: 144,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,299.52 : 295,764.56 = 96,075.44 : x
  2. Step 2: Convert to fraction form
    197,299.52/295,764.56 = 96,075.44/x
  3. Step 3: Cross multiply
    197,299.52x = 295,764.56 × 96,075.44
  4. Step 4: Simplify right side
    197,299.52x = 28,415,710,238.41
  5. Step 5: Solve for x
    x = 28,415,710,238.41/197,299.52
  6. Step 6: Final answer
    x = 144,023.21

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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.