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Finding the Fourth Proportional to 206,873.10, 310,346.10 and 73,830.60

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Solution

The fourth proportional to 206,873.10, 310,346.10 and 73,830.60 is: 110,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,873.10 : 310,346.10 = 73,830.60 : x
  2. Step 2: Convert to fraction form
    206,873.10/310,346.10 = 73,830.60/x
  3. Step 3: Cross multiply
    206,873.10x = 310,346.10 × 73,830.60
  4. Step 4: Simplify right side
    206,873.10x = 22,913,038,770.66
  5. Step 5: Solve for x
    x = 22,913,038,770.66/206,873.10
  6. Step 6: Final answer
    x = 110,758.91

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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.