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Finding the Fourth Proportional to 107,558.56, 161,359.62 and 45,229

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Solution

The fourth proportional to 107,558.56, 161,359.62 and 45,229 is: 67,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,558.56 : 161,359.62 = 45,229 : x
  2. Step 2: Convert to fraction form
    107,558.56/161,359.62 = 45,229/x
  3. Step 3: Cross multiply
    107,558.56x = 161,359.62 × 45,229
  4. Step 4: Simplify right side
    107,558.56x = 7,298,134,252.98
  5. Step 5: Solve for x
    x = 7,298,134,252.98/107,558.56
  6. Step 6: Final answer
    x = 67,852.66

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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.