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Finding the Fourth Proportional to 214,101.60, 321,152.40 and 204,260.10

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Solution

The fourth proportional to 214,101.60, 321,152.40 and 204,260.10 is: 306,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,101.60 : 321,152.40 = 204,260.10 : x
  2. Step 2: Convert to fraction form
    214,101.60/321,152.40 = 204,260.10/x
  3. Step 3: Cross multiply
    214,101.60x = 321,152.40 × 204,260.10
  4. Step 4: Simplify right side
    214,101.60x = 65,598,621,339.24
  5. Step 5: Solve for x
    x = 65,598,621,339.24/214,101.60
  6. Step 6: Final answer
    x = 306,390.15

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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.