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Finding the Fourth Proportional to 310,571.60, 465,900.60 and 133,077.20

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Solution

The fourth proportional to 310,571.60, 465,900.60 and 133,077.20 is: 199,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,571.60 : 465,900.60 = 133,077.20 : x
  2. Step 2: Convert to fraction form
    310,571.60/465,900.60 = 133,077.20/x
  3. Step 3: Cross multiply
    310,571.60x = 465,900.60 × 133,077.20
  4. Step 4: Simplify right side
    310,571.60x = 62,000,747,326.32
  5. Step 5: Solve for x
    x = 62,000,747,326.32/310,571.60
  6. Step 6: Final answer
    x = 199,634.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.