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Finding the Fourth Proportional to 161,889.31, 223,410 and 89,300.53

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Solution

The fourth proportional to 161,889.31, 223,410 and 89,300.53 is: 123,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,889.31 : 223,410 = 89,300.53 : x
  2. Step 2: Convert to fraction form
    161,889.31/223,410 = 89,300.53/x
  3. Step 3: Cross multiply
    161,889.31x = 223,410 × 89,300.53
  4. Step 4: Simplify right side
    161,889.31x = 19,950,631,407.30
  5. Step 5: Solve for x
    x = 19,950,631,407.30/161,889.31
  6. Step 6: Final answer
    x = 123,236.25

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Why These Related Problems?

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