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Finding the Fourth Proportional to 129,029.49, 178,074.66 and 78,070.33

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Solution

The fourth proportional to 129,029.49, 178,074.66 and 78,070.33 is: 107,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,029.49 : 178,074.66 = 78,070.33 : x
  2. Step 2: Convert to fraction form
    129,029.49/178,074.66 = 78,070.33/x
  3. Step 3: Cross multiply
    129,029.49x = 178,074.66 × 78,070.33
  4. Step 4: Simplify right side
    129,029.49x = 13,902,346,385.29
  5. Step 5: Solve for x
    x = 13,902,346,385.29/129,029.49
  6. Step 6: Final answer
    x = 107,745.49

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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.