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Finding the Fourth Proportional to 102,175.08, 140,999.38 and 59,156.38

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Solution

The fourth proportional to 102,175.08, 140,999.38 and 59,156.38 is: 81,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,175.08 : 140,999.38 = 59,156.38 : x
  2. Step 2: Convert to fraction form
    102,175.08/140,999.38 = 59,156.38/x
  3. Step 3: Cross multiply
    102,175.08x = 140,999.38 × 59,156.38
  4. Step 4: Simplify right side
    102,175.08x = 8,341,012,903.04
  5. Step 5: Solve for x
    x = 8,341,012,903.04/102,175.08
  6. Step 6: Final answer
    x = 81,634.51

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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.