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Finding the Fourth Proportional to 199,271.60, 298,907.40 and 128,412.80

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Solution

The fourth proportional to 199,271.60, 298,907.40 and 128,412.80 is: 192,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,271.60 : 298,907.40 = 128,412.80 : x
  2. Step 2: Convert to fraction form
    199,271.60/298,907.40 = 128,412.80/x
  3. Step 3: Cross multiply
    199,271.60x = 298,907.40 × 128,412.80
  4. Step 4: Simplify right side
    199,271.60x = 38,383,536,174.72
  5. Step 5: Solve for x
    x = 38,383,536,174.72/199,271.60
  6. Step 6: Final answer
    x = 192,619.20

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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.