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Finding the Fourth Proportional to 141,284.36, 194,973 and 77,623.40

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Solution

The fourth proportional to 141,284.36, 194,973 and 77,623.40 is: 107,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,284.36 : 194,973 = 77,623.40 : x
  2. Step 2: Convert to fraction form
    141,284.36/194,973 = 77,623.40/x
  3. Step 3: Cross multiply
    141,284.36x = 194,973 × 77,623.40
  4. Step 4: Simplify right side
    141,284.36x = 15,134,467,168.20
  5. Step 5: Solve for x
    x = 15,134,467,168.20/141,284.36
  6. Step 6: Final answer
    x = 107,120.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.