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Finding the Fourth Proportional to 169,211.56, 233,038.18 and 165,537.96

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Solution

The fourth proportional to 169,211.56, 233,038.18 and 165,537.96 is: 227,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,211.56 : 233,038.18 = 165,537.96 : x
  2. Step 2: Convert to fraction form
    169,211.56/233,038.18 = 165,537.96/x
  3. Step 3: Cross multiply
    169,211.56x = 233,038.18 × 165,537.96
  4. Step 4: Simplify right side
    169,211.56x = 38,576,664,919.31
  5. Step 5: Solve for x
    x = 38,576,664,919.31/169,211.56
  6. Step 6: Final answer
    x = 227,978.90

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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.