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Finding the Fourth Proportional to 100,821.38, 139,136.74 and 55,497.02

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Solution

The fourth proportional to 100,821.38, 139,136.74 and 55,497.02 is: 76,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,821.38 : 139,136.74 = 55,497.02 : x
  2. Step 2: Convert to fraction form
    100,821.38/139,136.74 = 55,497.02/x
  3. Step 3: Cross multiply
    100,821.38x = 139,136.74 × 55,497.02
  4. Step 4: Simplify right side
    100,821.38x = 7,721,673,608.09
  5. Step 5: Solve for x
    x = 7,721,673,608.09/100,821.38
  6. Step 6: Final answer
    x = 76,587.66

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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.