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Finding the Fourth Proportional to 196,298.60, 294,102.30 and 161,047.40

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Solution

The fourth proportional to 196,298.60, 294,102.30 and 161,047.40 is: 241,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,298.60 : 294,102.30 = 161,047.40 : x
  2. Step 2: Convert to fraction form
    196,298.60/294,102.30 = 161,047.40/x
  3. Step 3: Cross multiply
    196,298.60x = 294,102.30 × 161,047.40
  4. Step 4: Simplify right side
    196,298.60x = 47,364,410,749.02
  5. Step 5: Solve for x
    x = 47,364,410,749.02/196,298.60
  6. Step 6: Final answer
    x = 241,287.56

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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.