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Finding the Fourth Proportional to 233,651.58, 322,438.77 and 126,221.28

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Solution

The fourth proportional to 233,651.58, 322,438.77 and 126,221.28 is: 174,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,651.58 : 322,438.77 = 126,221.28 : x
  2. Step 2: Convert to fraction form
    233,651.58/322,438.77 = 126,221.28/x
  3. Step 3: Cross multiply
    233,651.58x = 322,438.77 × 126,221.28
  4. Step 4: Simplify right side
    233,651.58x = 40,698,634,271.03
  5. Step 5: Solve for x
    x = 40,698,634,271.03/233,651.58
  6. Step 6: Final answer
    x = 174,185.14

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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.