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Finding the Fourth Proportional to 130,743, 196,114.50 and 32,247

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Solution

The fourth proportional to 130,743, 196,114.50 and 32,247 is: 48,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,743 : 196,114.50 = 32,247 : x
  2. Step 2: Convert to fraction form
    130,743/196,114.50 = 32,247/x
  3. Step 3: Cross multiply
    130,743x = 196,114.50 × 32,247
  4. Step 4: Simplify right side
    130,743x = 6,324,104,281.50
  5. Step 5: Solve for x
    x = 6,324,104,281.50/130,743
  6. Step 6: Final answer
    x = 48,370.50

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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.