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Finding the Fourth Proportional to 211,458.09, 317,181.06 and 78,335.40

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Solution

The fourth proportional to 211,458.09, 317,181.06 and 78,335.40 is: 117,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,458.09 : 317,181.06 = 78,335.40 : x
  2. Step 2: Convert to fraction form
    211,458.09/317,181.06 = 78,335.40/x
  3. Step 3: Cross multiply
    211,458.09x = 317,181.06 × 78,335.40
  4. Step 4: Simplify right side
    211,458.09x = 24,846,505,207.52
  5. Step 5: Solve for x
    x = 24,846,505,207.52/211,458.09
  6. Step 6: Final answer
    x = 117,500.85

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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.