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Finding the Fourth Proportional to 206,853.60, 310,280.40 and 73,738.20

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Solution

The fourth proportional to 206,853.60, 310,280.40 and 73,738.20 is: 110,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,853.60 : 310,280.40 = 73,738.20 : x
  2. Step 2: Convert to fraction form
    206,853.60/310,280.40 = 73,738.20/x
  3. Step 3: Cross multiply
    206,853.60x = 310,280.40 × 73,738.20
  4. Step 4: Simplify right side
    206,853.60x = 22,879,518,191.28
  5. Step 5: Solve for x
    x = 22,879,518,191.28/206,853.60
  6. Step 6: Final answer
    x = 110,607.30

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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.