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Finding the Fourth Proportional to 114,678.64, 171,949.84 and 43,606.48

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Solution

The fourth proportional to 114,678.64, 171,949.84 and 43,606.48 is: 65,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,678.64 : 171,949.84 = 43,606.48 : x
  2. Step 2: Convert to fraction form
    114,678.64/171,949.84 = 43,606.48/x
  3. Step 3: Cross multiply
    114,678.64x = 171,949.84 × 43,606.48
  4. Step 4: Simplify right side
    114,678.64x = 7,498,127,258.96
  5. Step 5: Solve for x
    x = 7,498,127,258.96/114,678.64
  6. Step 6: Final answer
    x = 65,383.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.