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Finding the Fourth Proportional to 197,771.60, 296,657.40 and 144,635.60

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Solution

The fourth proportional to 197,771.60, 296,657.40 and 144,635.60 is: 216,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,771.60 : 296,657.40 = 144,635.60 : x
  2. Step 2: Convert to fraction form
    197,771.60/296,657.40 = 144,635.60/x
  3. Step 3: Cross multiply
    197,771.60x = 296,657.40 × 144,635.60
  4. Step 4: Simplify right side
    197,771.60x = 42,907,221,043.44
  5. Step 5: Solve for x
    x = 42,907,221,043.44/197,771.60
  6. Step 6: Final answer
    x = 216,953.40

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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.