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Finding the Fourth Proportional to 102,129.30, 140,648.13 and 73,790.10

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Solution

The fourth proportional to 102,129.30, 140,648.13 and 73,790.10 is: 101,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129.30 : 140,648.13 = 73,790.10 : x
  2. Step 2: Convert to fraction form
    102,129.30/140,648.13 = 73,790.10/x
  3. Step 3: Cross multiply
    102,129.30x = 140,648.13 × 73,790.10
  4. Step 4: Simplify right side
    102,129.30x = 10,378,439,577.51
  5. Step 5: Solve for x
    x = 10,378,439,577.51/102,129.30
  6. Step 6: Final answer
    x = 101,620.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.