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Finding the Fourth Proportional to 100,011, 138,016.80 and 55,299

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Solution

The fourth proportional to 100,011, 138,016.80 and 55,299 is: 76,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,011 : 138,016.80 = 55,299 : x
  2. Step 2: Convert to fraction form
    100,011/138,016.80 = 55,299/x
  3. Step 3: Cross multiply
    100,011x = 138,016.80 × 55,299
  4. Step 4: Simplify right side
    100,011x = 7,632,191,023.20
  5. Step 5: Solve for x
    x = 7,632,191,023.20/100,011
  6. Step 6: Final answer
    x = 76,313.52

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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.