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Finding the Fourth Proportional to 133,080.16, 183,645.84 and 73,464.16

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Solution

The fourth proportional to 133,080.16, 183,645.84 and 73,464.16 is: 101,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080.16 : 183,645.84 = 73,464.16 : x
  2. Step 2: Convert to fraction form
    133,080.16/183,645.84 = 73,464.16/x
  3. Step 3: Cross multiply
    133,080.16x = 183,645.84 × 73,464.16
  4. Step 4: Simplify right side
    133,080.16x = 13,491,387,373.09
  5. Step 5: Solve for x
    x = 13,491,387,373.09/133,080.16
  6. Step 6: Final answer
    x = 101,377.90

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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.