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Finding the Fourth Proportional to 153,610.46, 211,982.89 and 89,092.14

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Solution

The fourth proportional to 153,610.46, 211,982.89 and 89,092.14 is: 122,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,610.46 : 211,982.89 = 89,092.14 : x
  2. Step 2: Convert to fraction form
    153,610.46/211,982.89 = 89,092.14/x
  3. Step 3: Cross multiply
    153,610.46x = 211,982.89 × 89,092.14
  4. Step 4: Simplify right side
    153,610.46x = 18,886,009,313.48
  5. Step 5: Solve for x
    x = 18,886,009,313.48/153,610.46
  6. Step 6: Final answer
    x = 122,947.42

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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.