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Finding the Fourth Proportional to 137,170.08, 189,252.72 and 89,406

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Solution

The fourth proportional to 137,170.08, 189,252.72 and 89,406 is: 123,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,170.08 : 189,252.72 = 89,406 : x
  2. Step 2: Convert to fraction form
    137,170.08/189,252.72 = 89,406/x
  3. Step 3: Cross multiply
    137,170.08x = 189,252.72 × 89,406
  4. Step 4: Simplify right side
    137,170.08x = 16,920,328,684.32
  5. Step 5: Solve for x
    x = 16,920,328,684.32/137,170.08
  6. Step 6: Final answer
    x = 123,352.91

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