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Finding the Fourth Proportional to 272,649, 409,010.76 and 95,129.94

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Solution

The fourth proportional to 272,649, 409,010.76 and 95,129.94 is: 142,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,649 : 409,010.76 = 95,129.94 : x
  2. Step 2: Convert to fraction form
    272,649/409,010.76 = 95,129.94/x
  3. Step 3: Cross multiply
    272,649x = 409,010.76 × 95,129.94
  4. Step 4: Simplify right side
    272,649x = 38,909,169,058.15
  5. Step 5: Solve for x
    x = 38,909,169,058.15/272,649
  6. Step 6: Final answer
    x = 142,707.91

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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.