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Finding the Fourth Proportional to 147,742.40, 221,469.60 and 84,497.60

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Solution

The fourth proportional to 147,742.40, 221,469.60 and 84,497.60 is: 126,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,742.40 : 221,469.60 = 84,497.60 : x
  2. Step 2: Convert to fraction form
    147,742.40/221,469.60 = 84,497.60/x
  3. Step 3: Cross multiply
    147,742.40x = 221,469.60 × 84,497.60
  4. Step 4: Simplify right side
    147,742.40x = 18,713,649,672.96
  5. Step 5: Solve for x
    x = 18,713,649,672.96/147,742.40
  6. Step 6: Final answer
    x = 126,664.04

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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.