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Finding the Fourth Proportional to 272,650, 409,012.26 and 95,130.94

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Solution

The fourth proportional to 272,650, 409,012.26 and 95,130.94 is: 142,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,650 : 409,012.26 = 95,130.94 : x
  2. Step 2: Convert to fraction form
    272,650/409,012.26 = 95,130.94/x
  3. Step 3: Cross multiply
    272,650x = 409,012.26 × 95,130.94
  4. Step 4: Simplify right side
    272,650x = 38,909,720,765.32
  5. Step 5: Solve for x
    x = 38,909,720,765.32/272,650
  6. Step 6: Final answer
    x = 142,709.41

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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.