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Finding the Fourth Proportional to 310,631.40, 465,947.10 and 133,108.20

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Solution

The fourth proportional to 310,631.40, 465,947.10 and 133,108.20 is: 199,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,631.40 : 465,947.10 = 133,108.20 : x
  2. Step 2: Convert to fraction form
    310,631.40/465,947.10 = 133,108.20/x
  3. Step 3: Cross multiply
    310,631.40x = 465,947.10 × 133,108.20
  4. Step 4: Simplify right side
    310,631.40x = 62,021,379,776.22
  5. Step 5: Solve for x
    x = 62,021,379,776.22/310,631.40
  6. Step 6: Final answer
    x = 199,662.30

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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.