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Finding the Fourth Proportional to 151,554.96, 209,134.44 and 84,474

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Solution

The fourth proportional to 151,554.96, 209,134.44 and 84,474 is: 116,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,554.96 : 209,134.44 = 84,474 : x
  2. Step 2: Convert to fraction form
    151,554.96/209,134.44 = 84,474/x
  3. Step 3: Cross multiply
    151,554.96x = 209,134.44 × 84,474
  4. Step 4: Simplify right side
    151,554.96x = 17,666,422,684.56
  5. Step 5: Solve for x
    x = 17,666,422,684.56/151,554.96
  6. Step 6: Final answer
    x = 116,567.76

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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.