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Finding the Fourth Proportional to 197,621.40, 296,475.30 and 97,829.40

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Solution

The fourth proportional to 197,621.40, 296,475.30 and 97,829.40 is: 146,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,621.40 : 296,475.30 = 97,829.40 : x
  2. Step 2: Convert to fraction form
    197,621.40/296,475.30 = 97,829.40/x
  3. Step 3: Cross multiply
    197,621.40x = 296,475.30 × 97,829.40
  4. Step 4: Simplify right side
    197,621.40x = 29,004,000,713.82
  5. Step 5: Solve for x
    x = 29,004,000,713.82/197,621.40
  6. Step 6: Final answer
    x = 146,765.49

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