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Finding the Fourth Proportional to 211,740.60, 317,319.30 and 140,460.60

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Solution

The fourth proportional to 211,740.60, 317,319.30 and 140,460.60 is: 210,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,740.60 : 317,319.30 = 140,460.60 : x
  2. Step 2: Convert to fraction form
    211,740.60/317,319.30 = 140,460.60/x
  3. Step 3: Cross multiply
    211,740.60x = 317,319.30 × 140,460.60
  4. Step 4: Simplify right side
    211,740.60x = 44,570,859,269.58
  5. Step 5: Solve for x
    x = 44,570,859,269.58/211,740.60
  6. Step 6: Final answer
    x = 210,497.46

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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.