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Finding the Fourth Proportional to 197,453.80, 295,986.30 and 97,629.40

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Solution

The fourth proportional to 197,453.80, 295,986.30 and 97,629.40 is: 146,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,453.80 : 295,986.30 = 97,629.40 : x
  2. Step 2: Convert to fraction form
    197,453.80/295,986.30 = 97,629.40/x
  3. Step 3: Cross multiply
    197,453.80x = 295,986.30 × 97,629.40
  4. Step 4: Simplify right side
    197,453.80x = 28,896,964,877.22
  5. Step 5: Solve for x
    x = 28,896,964,877.22/197,453.80
  6. Step 6: Final answer
    x = 146,347.98

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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.