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Finding the Fourth Proportional to 233,563.37, 322,317.46 and 126,133.40

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Solution

The fourth proportional to 233,563.37, 322,317.46 and 126,133.40 is: 174,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,563.37 : 322,317.46 = 126,133.40 : x
  2. Step 2: Convert to fraction form
    233,563.37/322,317.46 = 126,133.40/x
  3. Step 3: Cross multiply
    233,563.37x = 322,317.46 × 126,133.40
  4. Step 4: Simplify right side
    233,563.37x = 40,654,997,599.62
  5. Step 5: Solve for x
    x = 40,654,997,599.62/233,563.37
  6. Step 6: Final answer
    x = 174,064.10

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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.