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Finding the Fourth Proportional to 211,753.42, 317,754.06 and 78,725.50

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Solution

The fourth proportional to 211,753.42, 317,754.06 and 78,725.50 is: 118,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,753.42 : 317,754.06 = 78,725.50 : x
  2. Step 2: Convert to fraction form
    211,753.42/317,754.06 = 78,725.50/x
  3. Step 3: Cross multiply
    211,753.42x = 317,754.06 × 78,725.50
  4. Step 4: Simplify right side
    211,753.42x = 25,015,346,456.14
  5. Step 5: Solve for x
    x = 25,015,346,456.14/211,753.42
  6. Step 6: Final answer
    x = 118,134.32

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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.