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Finding the Fourth Proportional to 205,367.20, 308,050.80 and 116,893.60

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Solution

The fourth proportional to 205,367.20, 308,050.80 and 116,893.60 is: 175,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,367.20 : 308,050.80 = 116,893.60 : x
  2. Step 2: Convert to fraction form
    205,367.20/308,050.80 = 116,893.60/x
  3. Step 3: Cross multiply
    205,367.20x = 308,050.80 × 116,893.60
  4. Step 4: Simplify right side
    205,367.20x = 36,009,166,994.88
  5. Step 5: Solve for x
    x = 36,009,166,994.88/205,367.20
  6. Step 6: Final answer
    x = 175,340.40

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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.