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Finding the Fourth Proportional to 137,575.28, 189,894.44 and 89,836.08

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Solution

The fourth proportional to 137,575.28, 189,894.44 and 89,836.08 is: 124,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575.28 : 189,894.44 = 89,836.08 : x
  2. Step 2: Convert to fraction form
    137,575.28/189,894.44 = 89,836.08/x
  3. Step 3: Cross multiply
    137,575.28x = 189,894.44 × 89,836.08
  4. Step 4: Simplify right side
    137,575.28x = 17,059,372,103.40
  5. Step 5: Solve for x
    x = 17,059,372,103.40/137,575.28
  6. Step 6: Final answer
    x = 124,000.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.