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Finding the Fourth Proportional to 197,260, 295,964.52 and 118,429.18

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Solution

The fourth proportional to 197,260, 295,964.52 and 118,429.18 is: 177,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,260 : 295,964.52 = 118,429.18 : x
  2. Step 2: Convert to fraction form
    197,260/295,964.52 = 118,429.18/x
  3. Step 3: Cross multiply
    197,260x = 295,964.52 × 118,429.18
  4. Step 4: Simplify right side
    197,260x = 35,050,835,412.69
  5. Step 5: Solve for x
    x = 35,050,835,412.69/197,260
  6. Step 6: Final answer
    x = 177,688.51

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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.