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Finding the Fourth Proportional to 205,078.60, 307,617.90 and 197,205.40

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Solution

The fourth proportional to 205,078.60, 307,617.90 and 197,205.40 is: 295,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,078.60 : 307,617.90 = 197,205.40 : x
  2. Step 2: Convert to fraction form
    205,078.60/307,617.90 = 197,205.40/x
  3. Step 3: Cross multiply
    205,078.60x = 307,617.90 × 197,205.40
  4. Step 4: Simplify right side
    205,078.60x = 60,663,911,016.66
  5. Step 5: Solve for x
    x = 60,663,911,016.66/205,078.60
  6. Step 6: Final answer
    x = 295,808.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.