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Finding the Fourth Proportional to 217,577.46, 326,382 and 91,090.50

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Solution

The fourth proportional to 217,577.46, 326,382 and 91,090.50 is: 136,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,577.46 : 326,382 = 91,090.50 : x
  2. Step 2: Convert to fraction form
    217,577.46/326,382 = 91,090.50/x
  3. Step 3: Cross multiply
    217,577.46x = 326,382 × 91,090.50
  4. Step 4: Simplify right side
    217,577.46x = 29,730,299,571
  5. Step 5: Solve for x
    x = 29,730,299,571/217,577.46
  6. Step 6: Final answer
    x = 136,642.37

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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.