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Finding the Fourth Proportional to 199,556.40, 298,605.60 and 147,068.40

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Solution

The fourth proportional to 199,556.40, 298,605.60 and 147,068.40 is: 220,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,556.40 : 298,605.60 = 147,068.40 : x
  2. Step 2: Convert to fraction form
    199,556.40/298,605.60 = 147,068.40/x
  3. Step 3: Cross multiply
    199,556.40x = 298,605.60 × 147,068.40
  4. Step 4: Simplify right side
    199,556.40x = 43,915,447,823.04
  5. Step 5: Solve for x
    x = 43,915,447,823.04/199,556.40
  6. Step 6: Final answer
    x = 220,065.34

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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.