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Finding the Fourth Proportional to 272,932, 409,231.24 and 130,820.76

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Solution

The fourth proportional to 272,932, 409,231.24 and 130,820.76 is: 196,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,932 : 409,231.24 = 130,820.76 : x
  2. Step 2: Convert to fraction form
    272,932/409,231.24 = 130,820.76/x
  3. Step 3: Cross multiply
    272,932x = 409,231.24 × 130,820.76
  4. Step 4: Simplify right side
    272,932x = 53,535,941,832.54
  5. Step 5: Solve for x
    x = 53,535,941,832.54/272,932
  6. Step 6: Final answer
    x = 196,151.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.