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Finding the Fourth Proportional to 201,451.92, 301,905.60 and 76,724.88

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Solution

The fourth proportional to 201,451.92, 301,905.60 and 76,724.88 is: 114,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,451.92 : 301,905.60 = 76,724.88 : x
  2. Step 2: Convert to fraction form
    201,451.92/301,905.60 = 76,724.88/x
  3. Step 3: Cross multiply
    201,451.92x = 301,905.60 × 76,724.88
  4. Step 4: Simplify right side
    201,451.92x = 23,163,670,931.33
  5. Step 5: Solve for x
    x = 23,163,670,931.33/201,451.92
  6. Step 6: Final answer
    x = 114,983.62

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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.