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Finding the Fourth Proportional to 134,633.69, 201,729.09 and 106,733.06

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Solution

The fourth proportional to 134,633.69, 201,729.09 and 106,733.06 is: 159,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,633.69 : 201,729.09 = 106,733.06 : x
  2. Step 2: Convert to fraction form
    134,633.69/201,729.09 = 106,733.06/x
  3. Step 3: Cross multiply
    134,633.69x = 201,729.09 × 106,733.06
  4. Step 4: Simplify right side
    134,633.69x = 21,531,163,066.72
  5. Step 5: Solve for x
    x = 21,531,163,066.72/134,633.69
  6. Step 6: Final answer
    x = 159,924.04

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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.