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Finding the Fourth Proportional to 102,173.61, 140,822.42 and 96,268.71

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Solution

The fourth proportional to 102,173.61, 140,822.42 and 96,268.71 is: 132,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,173.61 : 140,822.42 = 96,268.71 : x
  2. Step 2: Convert to fraction form
    102,173.61/140,822.42 = 96,268.71/x
  3. Step 3: Cross multiply
    102,173.61x = 140,822.42 × 96,268.71
  4. Step 4: Simplify right side
    102,173.61x = 13,556,792,712.48
  5. Step 5: Solve for x
    x = 13,556,792,712.48/102,173.61
  6. Step 6: Final answer
    x = 132,683.90

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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.