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Finding the Fourth Proportional to 129,774.36, 194,661.18 and 31,278.36

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Solution

The fourth proportional to 129,774.36, 194,661.18 and 31,278.36 is: 46,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,774.36 : 194,661.18 = 31,278.36 : x
  2. Step 2: Convert to fraction form
    129,774.36/194,661.18 = 31,278.36/x
  3. Step 3: Cross multiply
    129,774.36x = 194,661.18 × 31,278.36
  4. Step 4: Simplify right side
    129,774.36x = 6,088,682,466.06
  5. Step 5: Solve for x
    x = 6,088,682,466.06/129,774.36
  6. Step 6: Final answer
    x = 46,917.45

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