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Finding the Fourth Proportional to 142,074.54, 196,027.38 and 81,662.40

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Solution

The fourth proportional to 142,074.54, 196,027.38 and 81,662.40 is: 112,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074.54 : 196,027.38 = 81,662.40 : x
  2. Step 2: Convert to fraction form
    142,074.54/196,027.38 = 81,662.40/x
  3. Step 3: Cross multiply
    142,074.54x = 196,027.38 × 81,662.40
  4. Step 4: Simplify right side
    142,074.54x = 16,008,066,316.51
  5. Step 5: Solve for x
    x = 16,008,066,316.51/142,074.54
  6. Step 6: Final answer
    x = 112,673.72

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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.