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Finding the Fourth Proportional to 102,074.68, 140,817.18 and 59,608

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Solution

The fourth proportional to 102,074.68, 140,817.18 and 59,608 is: 82,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,074.68 : 140,817.18 = 59,608 : x
  2. Step 2: Convert to fraction form
    102,074.68/140,817.18 = 59,608/x
  3. Step 3: Cross multiply
    102,074.68x = 140,817.18 × 59,608
  4. Step 4: Simplify right side
    102,074.68x = 8,393,830,465.44
  5. Step 5: Solve for x
    x = 8,393,830,465.44/102,074.68
  6. Step 6: Final answer
    x = 82,232.25

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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.