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Finding the Fourth Proportional to 119,732.94, 165,227.70 and 66,019

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Solution

The fourth proportional to 119,732.94, 165,227.70 and 66,019 is: 91,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,732.94 : 165,227.70 = 66,019 : x
  2. Step 2: Convert to fraction form
    119,732.94/165,227.70 = 66,019/x
  3. Step 3: Cross multiply
    119,732.94x = 165,227.70 × 66,019
  4. Step 4: Simplify right side
    119,732.94x = 10,908,167,526.30
  5. Step 5: Solve for x
    x = 10,908,167,526.30/119,732.94
  6. Step 6: Final answer
    x = 91,104.15

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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.