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Finding the Fourth Proportional to 100,690.85, 138,962.22 and 55,376.81

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Solution

The fourth proportional to 100,690.85, 138,962.22 and 55,376.81 is: 76,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,690.85 : 138,962.22 = 55,376.81 : x
  2. Step 2: Convert to fraction form
    100,690.85/138,962.22 = 55,376.81/x
  3. Step 3: Cross multiply
    100,690.85x = 138,962.22 × 55,376.81
  4. Step 4: Simplify right side
    100,690.85x = 7,695,284,454.12
  5. Step 5: Solve for x
    x = 7,695,284,454.12/100,690.85
  6. Step 6: Final answer
    x = 76,424.86

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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.