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Finding the Fourth Proportional to 119,959, 165,558 and 69,658

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Solution

The fourth proportional to 119,959, 165,558 and 69,658 is: 96,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,959 : 165,558 = 69,658 : x
  2. Step 2: Convert to fraction form
    119,959/165,558 = 69,658/x
  3. Step 3: Cross multiply
    119,959x = 165,558 × 69,658
  4. Step 4: Simplify right side
    119,959x = 11,532,439,164
  5. Step 5: Solve for x
    x = 11,532,439,164/119,959
  6. Step 6: Final answer
    x = 96,136.51

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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.