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Finding the Fourth Proportional to 137,188.08, 189,277.56 and 89,424

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Solution

The fourth proportional to 137,188.08, 189,277.56 and 89,424 is: 123,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,188.08 : 189,277.56 = 89,424 : x
  2. Step 2: Convert to fraction form
    137,188.08/189,277.56 = 89,424/x
  3. Step 3: Cross multiply
    137,188.08x = 189,277.56 × 89,424
  4. Step 4: Simplify right side
    137,188.08x = 16,925,956,525.44
  5. Step 5: Solve for x
    x = 16,925,956,525.44/137,188.08
  6. Step 6: Final answer
    x = 123,377.75

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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.