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Finding the Fourth Proportional to 199,544.40, 298,587.60 and 147,056.40

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Solution

The fourth proportional to 199,544.40, 298,587.60 and 147,056.40 is: 220,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,544.40 : 298,587.60 = 147,056.40 : x
  2. Step 2: Convert to fraction form
    199,544.40/298,587.60 = 147,056.40/x
  3. Step 3: Cross multiply
    199,544.40x = 298,587.60 × 147,056.40
  4. Step 4: Simplify right side
    199,544.40x = 43,909,217,540.64
  5. Step 5: Solve for x
    x = 43,909,217,540.64/199,544.40
  6. Step 6: Final answer
    x = 220,047.36

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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.