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Finding the Fourth Proportional to 119,099.36, 164,326.32 and 71,318.88

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Solution

The fourth proportional to 119,099.36, 164,326.32 and 71,318.88 is: 98,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,099.36 : 164,326.32 = 71,318.88 : x
  2. Step 2: Convert to fraction form
    119,099.36/164,326.32 = 71,318.88/x
  3. Step 3: Cross multiply
    119,099.36x = 164,326.32 × 71,318.88
  4. Step 4: Simplify right side
    119,099.36x = 11,719,569,096.92
  5. Step 5: Solve for x
    x = 11,719,569,096.92/119,099.36
  6. Step 6: Final answer
    x = 98,401.61

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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.