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Finding the Fourth Proportional to 101,652.35, 140,266.96 and 56,328.14

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Solution

The fourth proportional to 101,652.35, 140,266.96 and 56,328.14 is: 77,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,652.35 : 140,266.96 = 56,328.14 : x
  2. Step 2: Convert to fraction form
    101,652.35/140,266.96 = 56,328.14/x
  3. Step 3: Cross multiply
    101,652.35x = 140,266.96 × 56,328.14
  4. Step 4: Simplify right side
    101,652.35x = 7,900,977,170.10
  5. Step 5: Solve for x
    x = 7,900,977,170.10/101,652.35
  6. Step 6: Final answer
    x = 77,725.48

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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.