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Finding the Fourth Proportional to 101,457, 140,011.14 and 56,745

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Solution

The fourth proportional to 101,457, 140,011.14 and 56,745 is: 78,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,457 : 140,011.14 = 56,745 : x
  2. Step 2: Convert to fraction form
    101,457/140,011.14 = 56,745/x
  3. Step 3: Cross multiply
    101,457x = 140,011.14 × 56,745
  4. Step 4: Simplify right side
    101,457x = 7,944,932,139.30
  5. Step 5: Solve for x
    x = 7,944,932,139.30/101,457
  6. Step 6: Final answer
    x = 78,308.37

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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.