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Finding the Fourth Proportional to 200,349.48, 300,533.94 and 165,225

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Solution

The fourth proportional to 200,349.48, 300,533.94 and 165,225 is: 247,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,349.48 : 300,533.94 = 165,225 : x
  2. Step 2: Convert to fraction form
    200,349.48/300,533.94 = 165,225/x
  3. Step 3: Cross multiply
    200,349.48x = 300,533.94 × 165,225
  4. Step 4: Simplify right side
    200,349.48x = 49,655,720,236.50
  5. Step 5: Solve for x
    x = 49,655,720,236.50/200,349.48
  6. Step 6: Final answer
    x = 247,845.52

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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.