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Finding the Fourth Proportional to 201,856.49, 302,847.02 and 75,509.50

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Solution

The fourth proportional to 201,856.49, 302,847.02 and 75,509.50 is: 113,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.49 : 302,847.02 = 75,509.50 : x
  2. Step 2: Convert to fraction form
    201,856.49/302,847.02 = 75,509.50/x
  3. Step 3: Cross multiply
    201,856.49x = 302,847.02 × 75,509.50
  4. Step 4: Simplify right side
    201,856.49x = 22,867,827,056.69
  5. Step 5: Solve for x
    x = 22,867,827,056.69/201,856.49
  6. Step 6: Final answer
    x = 113,287.55

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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.