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Finding the Fourth Proportional to 119,398.23, 164,766.02 and 65,683.22

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Solution

The fourth proportional to 119,398.23, 164,766.02 and 65,683.22 is: 90,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,398.23 : 164,766.02 = 65,683.22 : x
  2. Step 2: Convert to fraction form
    119,398.23/164,766.02 = 65,683.22/x
  3. Step 3: Cross multiply
    119,398.23x = 164,766.02 × 65,683.22
  4. Step 4: Simplify right side
    119,398.23x = 10,822,361,587.94
  5. Step 5: Solve for x
    x = 10,822,361,587.94/119,398.23
  6. Step 6: Final answer
    x = 90,640.89

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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.