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Finding the Fourth Proportional to 165,073, 227,809.38 and 97,093.48

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Solution

The fourth proportional to 165,073, 227,809.38 and 97,093.48 is: 133,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,073 : 227,809.38 = 97,093.48 : x
  2. Step 2: Convert to fraction form
    165,073/227,809.38 = 97,093.48/x
  3. Step 3: Cross multiply
    165,073x = 227,809.38 × 97,093.48
  4. Step 4: Simplify right side
    165,073x = 22,118,805,480.84
  5. Step 5: Solve for x
    x = 22,118,805,480.84/165,073
  6. Step 6: Final answer
    x = 133,994.08

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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.