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Finding the Fourth Proportional to 310,055.31, 465,131.70 and 132,563.25

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Solution

The fourth proportional to 310,055.31, 465,131.70 and 132,563.25 is: 198,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,055.31 : 465,131.70 = 132,563.25 : x
  2. Step 2: Convert to fraction form
    310,055.31/465,131.70 = 132,563.25/x
  3. Step 3: Cross multiply
    310,055.31x = 465,131.70 × 132,563.25
  4. Step 4: Simplify right side
    310,055.31x = 61,659,369,830.03
  5. Step 5: Solve for x
    x = 61,659,369,830.03/310,055.31
  6. Step 6: Final answer
    x = 198,865.71

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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.