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Finding the Fourth Proportional to 252,588.96, 348,509.68 and 145,189.60

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Solution

The fourth proportional to 252,588.96, 348,509.68 and 145,189.60 is: 200,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,588.96 : 348,509.68 = 145,189.60 : x
  2. Step 2: Convert to fraction form
    252,588.96/348,509.68 = 145,189.60/x
  3. Step 3: Cross multiply
    252,588.96x = 348,509.68 × 145,189.60
  4. Step 4: Simplify right side
    252,588.96x = 50,599,981,035.33
  5. Step 5: Solve for x
    x = 50,599,981,035.33/252,588.96
  6. Step 6: Final answer
    x = 200,325.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.