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Finding the Fourth Proportional to 245,533.60, 368,300.40 and 206,135.20

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Solution

The fourth proportional to 245,533.60, 368,300.40 and 206,135.20 is: 309,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,533.60 : 368,300.40 = 206,135.20 : x
  2. Step 2: Convert to fraction form
    245,533.60/368,300.40 = 206,135.20/x
  3. Step 3: Cross multiply
    245,533.60x = 368,300.40 × 206,135.20
  4. Step 4: Simplify right side
    245,533.60x = 75,919,676,614.08
  5. Step 5: Solve for x
    x = 75,919,676,614.08/245,533.60
  6. Step 6: Final answer
    x = 309,202.80

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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.