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Finding the Fourth Proportional to 310,625.54, 465,861.32 and 133,112.42

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Solution

The fourth proportional to 310,625.54, 465,861.32 and 133,112.42 is: 199,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,625.54 : 465,861.32 = 133,112.42 : x
  2. Step 2: Convert to fraction form
    310,625.54/465,861.32 = 133,112.42/x
  3. Step 3: Cross multiply
    310,625.54x = 465,861.32 × 133,112.42
  4. Step 4: Simplify right side
    310,625.54x = 62,011,927,689.59
  5. Step 5: Solve for x
    x = 62,011,927,689.59/310,625.54
  6. Step 6: Final answer
    x = 199,635.64

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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.