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Finding the Fourth Proportional to 129,127.36, 178,212.36 and 72,538.80

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Solution

The fourth proportional to 129,127.36, 178,212.36 and 72,538.80 is: 100,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,127.36 : 178,212.36 = 72,538.80 : x
  2. Step 2: Convert to fraction form
    129,127.36/178,212.36 = 72,538.80/x
  3. Step 3: Cross multiply
    129,127.36x = 178,212.36 × 72,538.80
  4. Step 4: Simplify right side
    129,127.36x = 12,927,310,739.57
  5. Step 5: Solve for x
    x = 12,927,310,739.57/129,127.36
  6. Step 6: Final answer
    x = 100,112.87

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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.