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Finding the Fourth Proportional to 101,771.34, 140,443.52 and 56,449.42

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Solution

The fourth proportional to 101,771.34, 140,443.52 and 56,449.42 is: 77,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,771.34 : 140,443.52 = 56,449.42 : x
  2. Step 2: Convert to fraction form
    101,771.34/140,443.52 = 56,449.42/x
  3. Step 3: Cross multiply
    101,771.34x = 140,443.52 × 56,449.42
  4. Step 4: Simplify right side
    101,771.34x = 7,927,955,246.76
  5. Step 5: Solve for x
    x = 7,927,955,246.76/101,771.34
  6. Step 6: Final answer
    x = 77,899.68

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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.