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Finding the Fourth Proportional to 189,580.88, 283,989.81 and 89,837.26

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Solution

The fourth proportional to 189,580.88, 283,989.81 and 89,837.26 is: 134,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,580.88 : 283,989.81 = 89,837.26 : x
  2. Step 2: Convert to fraction form
    189,580.88/283,989.81 = 89,837.26/x
  3. Step 3: Cross multiply
    189,580.88x = 283,989.81 × 89,837.26
  4. Step 4: Simplify right side
    189,580.88x = 25,512,866,398.32
  5. Step 5: Solve for x
    x = 25,512,866,398.32/189,580.88
  6. Step 6: Final answer
    x = 134,575.10

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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.