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Finding the Fourth Proportional to 137,388.76, 205,733.22 and 67,084

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Solution

The fourth proportional to 137,388.76, 205,733.22 and 67,084 is: 100,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,388.76 : 205,733.22 = 67,084 : x
  2. Step 2: Convert to fraction form
    137,388.76/205,733.22 = 67,084/x
  3. Step 3: Cross multiply
    137,388.76x = 205,733.22 × 67,084
  4. Step 4: Simplify right side
    137,388.76x = 13,801,407,330.48
  5. Step 5: Solve for x
    x = 13,801,407,330.48/137,388.76
  6. Step 6: Final answer
    x = 100,455.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.