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Finding the Fourth Proportional to 205,132.40, 307,698.60 and 202,367.60

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Solution

The fourth proportional to 205,132.40, 307,698.60 and 202,367.60 is: 303,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,132.40 : 307,698.60 = 202,367.60 : x
  2. Step 2: Convert to fraction form
    205,132.40/307,698.60 = 202,367.60/x
  3. Step 3: Cross multiply
    205,132.40x = 307,698.60 × 202,367.60
  4. Step 4: Simplify right side
    205,132.40x = 62,268,227,205.36
  5. Step 5: Solve for x
    x = 62,268,227,205.36/205,132.40
  6. Step 6: Final answer
    x = 303,551.40

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1.5x scale

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.