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Finding the Fourth Proportional to 160,410.56, 221,335.20 and 100,760

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Solution

The fourth proportional to 160,410.56, 221,335.20 and 100,760 is: 139,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,410.56 : 221,335.20 = 100,760 : x
  2. Step 2: Convert to fraction form
    160,410.56/221,335.20 = 100,760/x
  3. Step 3: Cross multiply
    160,410.56x = 221,335.20 × 100,760
  4. Step 4: Simplify right side
    160,410.56x = 22,301,734,752
  5. Step 5: Solve for x
    x = 22,301,734,752/160,410.56
  6. Step 6: Final answer
    x = 139,029.09

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