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Finding the Fourth Proportional to 100,742.88, 139,026.96 and 55,424.64

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Solution

The fourth proportional to 100,742.88, 139,026.96 and 55,424.64 is: 76,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742.88 : 139,026.96 = 55,424.64 : x
  2. Step 2: Convert to fraction form
    100,742.88/139,026.96 = 55,424.64/x
  3. Step 3: Cross multiply
    100,742.88x = 139,026.96 × 55,424.64
  4. Step 4: Simplify right side
    100,742.88x = 7,705,519,208.29
  5. Step 5: Solve for x
    x = 7,705,519,208.29/100,742.88
  6. Step 6: Final answer
    x = 76,486.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.