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Finding the Fourth Proportional to 201,097.44, 301,647.06 and 67,978.40

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Solution

The fourth proportional to 201,097.44, 301,647.06 and 67,978.40 is: 101,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.44 : 301,647.06 = 67,978.40 : x
  2. Step 2: Convert to fraction form
    201,097.44/301,647.06 = 67,978.40/x
  3. Step 3: Cross multiply
    201,097.44x = 301,647.06 × 67,978.40
  4. Step 4: Simplify right side
    201,097.44x = 20,505,484,503.50
  5. Step 5: Solve for x
    x = 20,505,484,503.50/201,097.44
  6. Step 6: Final answer
    x = 101,967.90

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1.5x scale

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.