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Finding the Fourth Proportional to 245,409.60, 368,114.40 and 206,043.60

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Solution

The fourth proportional to 245,409.60, 368,114.40 and 206,043.60 is: 309,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,409.60 : 368,114.40 = 206,043.60 : x
  2. Step 2: Convert to fraction form
    245,409.60/368,114.40 = 206,043.60/x
  3. Step 3: Cross multiply
    245,409.60x = 368,114.40 × 206,043.60
  4. Step 4: Simplify right side
    245,409.60x = 75,847,616,187.84
  5. Step 5: Solve for x
    x = 75,847,616,187.84/245,409.60
  6. Step 6: Final answer
    x = 309,065.40

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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.