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Finding the Fourth Proportional to 169,564.45, 234,010.01 and 97,947.49

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Solution

The fourth proportional to 169,564.45, 234,010.01 and 97,947.49 is: 135,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,564.45 : 234,010.01 = 97,947.49 : x
  2. Step 2: Convert to fraction form
    169,564.45/234,010.01 = 97,947.49/x
  3. Step 3: Cross multiply
    169,564.45x = 234,010.01 × 97,947.49
  4. Step 4: Simplify right side
    169,564.45x = 22,920,693,114.37
  5. Step 5: Solve for x
    x = 22,920,693,114.37/169,564.45
  6. Step 6: Final answer
    x = 135,173.93

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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.