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Finding the Fourth Proportional to 207,447.60, 311,056.20 and 82,647.60

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Solution

The fourth proportional to 207,447.60, 311,056.20 and 82,647.60 is: 123,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,447.60 : 311,056.20 = 82,647.60 : x
  2. Step 2: Convert to fraction form
    207,447.60/311,056.20 = 82,647.60/x
  3. Step 3: Cross multiply
    207,447.60x = 311,056.20 × 82,647.60
  4. Step 4: Simplify right side
    207,447.60x = 25,708,048,395.12
  5. Step 5: Solve for x
    x = 25,708,048,395.12/207,447.60
  6. Step 6: Final answer
    x = 123,925.50

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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.