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Finding the Fourth Proportional to 233,628.13, 322,406.63 and 126,198.14

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Solution

The fourth proportional to 233,628.13, 322,406.63 and 126,198.14 is: 174,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,628.13 : 322,406.63 = 126,198.14 : x
  2. Step 2: Convert to fraction form
    233,628.13/322,406.63 = 126,198.14/x
  3. Step 3: Cross multiply
    233,628.13x = 322,406.63 × 126,198.14
  4. Step 4: Simplify right side
    233,628.13x = 40,687,115,259.89
  5. Step 5: Solve for x
    x = 40,687,115,259.89/233,628.13
  6. Step 6: Final answer
    x = 174,153.32

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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.