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Finding the Fourth Proportional to 102,070.82, 140,812.27 and 59,610.62

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Solution

The fourth proportional to 102,070.82, 140,812.27 and 59,610.62 is: 82,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,070.82 : 140,812.27 = 59,610.62 : x
  2. Step 2: Convert to fraction form
    102,070.82/140,812.27 = 59,610.62/x
  3. Step 3: Cross multiply
    102,070.82x = 140,812.27 × 59,610.62
  4. Step 4: Simplify right side
    102,070.82x = 8,393,905,865.22
  5. Step 5: Solve for x
    x = 8,393,905,865.22/102,070.82
  6. Step 6: Final answer
    x = 82,236.10

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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.