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Finding the Fourth Proportional to 101,419.14, 139,955.78 and 56,096

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Solution

The fourth proportional to 101,419.14, 139,955.78 and 56,096 is: 77,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,419.14 : 139,955.78 = 56,096 : x
  2. Step 2: Convert to fraction form
    101,419.14/139,955.78 = 56,096/x
  3. Step 3: Cross multiply
    101,419.14x = 139,955.78 × 56,096
  4. Step 4: Simplify right side
    101,419.14x = 7,850,959,434.88
  5. Step 5: Solve for x
    x = 7,850,959,434.88/101,419.14
  6. Step 6: Final answer
    x = 77,411.02

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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.