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Finding the Fourth Proportional to 101,652.24, 140,277.96 and 56,329.80

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Solution

The fourth proportional to 101,652.24, 140,277.96 and 56,329.80 is: 77,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,652.24 : 140,277.96 = 56,329.80 : x
  2. Step 2: Convert to fraction form
    101,652.24/140,277.96 = 56,329.80/x
  3. Step 3: Cross multiply
    101,652.24x = 140,277.96 × 56,329.80
  4. Step 4: Simplify right side
    101,652.24x = 7,901,829,431.21
  5. Step 5: Solve for x
    x = 7,901,829,431.21/101,652.24
  6. Step 6: Final answer
    x = 77,733.94

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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.