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Finding the Fourth Proportional to 197,289.56, 295,749.60 and 96,065.48

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Solution

The fourth proportional to 197,289.56, 295,749.60 and 96,065.48 is: 144,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,289.56 : 295,749.60 = 96,065.48 : x
  2. Step 2: Convert to fraction form
    197,289.56/295,749.60 = 96,065.48/x
  3. Step 3: Cross multiply
    197,289.56x = 295,749.60 × 96,065.48
  4. Step 4: Simplify right side
    197,289.56x = 28,411,327,283.81
  5. Step 5: Solve for x
    x = 28,411,327,283.81/197,289.56
  6. Step 6: Final answer
    x = 144,008.27

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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.