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Finding the Fourth Proportional to 101,414.90, 139,962.75 and 56,096.30

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Solution

The fourth proportional to 101,414.90, 139,962.75 and 56,096.30 is: 77,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.90 : 139,962.75 = 56,096.30 : x
  2. Step 2: Convert to fraction form
    101,414.90/139,962.75 = 56,096.30/x
  3. Step 3: Cross multiply
    101,414.90x = 139,962.75 × 56,096.30
  4. Step 4: Simplify right side
    101,414.90x = 7,851,392,412.83
  5. Step 5: Solve for x
    x = 7,851,392,412.83/101,414.90
  6. Step 6: Final answer
    x = 77,418.53

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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.