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Finding the Fourth Proportional to 211,739.60, 317,317.80 and 140,459.60

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Solution

The fourth proportional to 211,739.60, 317,317.80 and 140,459.60 is: 210,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,739.60 : 317,317.80 = 140,459.60 : x
  2. Step 2: Convert to fraction form
    211,739.60/317,317.80 = 140,459.60/x
  3. Step 3: Cross multiply
    211,739.60x = 317,317.80 × 140,459.60
  4. Step 4: Simplify right side
    211,739.60x = 44,570,331,260.88
  5. Step 5: Solve for x
    x = 44,570,331,260.88/211,739.60
  6. Step 6: Final answer
    x = 210,495.96

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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.