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Finding the Fourth Proportional to 207,231.60, 310,847.40 and 74,116.20

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Solution

The fourth proportional to 207,231.60, 310,847.40 and 74,116.20 is: 111,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,231.60 : 310,847.40 = 74,116.20 : x
  2. Step 2: Convert to fraction form
    207,231.60/310,847.40 = 74,116.20/x
  3. Step 3: Cross multiply
    207,231.60x = 310,847.40 × 74,116.20
  4. Step 4: Simplify right side
    207,231.60x = 23,038,828,067.88
  5. Step 5: Solve for x
    x = 23,038,828,067.88/207,231.60
  6. Step 6: Final answer
    x = 111,174.30

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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.