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Finding the Fourth Proportional to 123,786, 185,649.12 and 57,162.08

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Solution

The fourth proportional to 123,786, 185,649.12 and 57,162.08 is: 85,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,786 : 185,649.12 = 57,162.08 : x
  2. Step 2: Convert to fraction form
    123,786/185,649.12 = 57,162.08/x
  3. Step 3: Cross multiply
    123,786x = 185,649.12 × 57,162.08
  4. Step 4: Simplify right side
    123,786x = 10,612,089,849.37
  5. Step 5: Solve for x
    x = 10,612,089,849.37/123,786
  6. Step 6: Final answer
    x = 85,729.32

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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.