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Finding the Fourth Proportional to 101,745.63, 140,445.32 and 69,457.14

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Solution

The fourth proportional to 101,745.63, 140,445.32 and 69,457.14 is: 95,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745.63 : 140,445.32 = 69,457.14 : x
  2. Step 2: Convert to fraction form
    101,745.63/140,445.32 = 69,457.14/x
  3. Step 3: Cross multiply
    101,745.63x = 140,445.32 × 69,457.14
  4. Step 4: Simplify right side
    101,745.63x = 9,754,929,906.30
  5. Step 5: Solve for x
    x = 9,754,929,906.30/101,745.63
  6. Step 6: Final answer
    x = 95,875.66

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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.