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Finding the Fourth Proportional to 129,104.36, 178,111.98 and 78,028.42

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Solution

The fourth proportional to 129,104.36, 178,111.98 and 78,028.42 is: 107,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,104.36 : 178,111.98 = 78,028.42 : x
  2. Step 2: Convert to fraction form
    129,104.36/178,111.98 = 78,028.42/x
  3. Step 3: Cross multiply
    129,104.36x = 178,111.98 × 78,028.42
  4. Step 4: Simplify right side
    129,104.36x = 13,897,796,382.47
  5. Step 5: Solve for x
    x = 13,897,796,382.47/129,104.36
  6. Step 6: Final answer
    x = 107,647.77

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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.