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Finding the Fourth Proportional to 272,674.14, 409,109.64 and 95,207.30

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Solution

The fourth proportional to 272,674.14, 409,109.64 and 95,207.30 is: 142,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,674.14 : 409,109.64 = 95,207.30 : x
  2. Step 2: Convert to fraction form
    272,674.14/409,109.64 = 95,207.30/x
  3. Step 3: Cross multiply
    272,674.14x = 409,109.64 × 95,207.30
  4. Step 4: Simplify right side
    272,674.14x = 38,950,224,228.37
  5. Step 5: Solve for x
    x = 38,950,224,228.37/272,674.14
  6. Step 6: Final answer
    x = 142,845.32

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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.