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Finding the Fourth Proportional to 138,020.82, 190,447.38 and 77,580.24

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Solution

The fourth proportional to 138,020.82, 190,447.38 and 77,580.24 is: 107,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,020.82 : 190,447.38 = 77,580.24 : x
  2. Step 2: Convert to fraction form
    138,020.82/190,447.38 = 77,580.24/x
  3. Step 3: Cross multiply
    138,020.82x = 190,447.38 × 77,580.24
  4. Step 4: Simplify right side
    138,020.82x = 14,774,953,447.77
  5. Step 5: Solve for x
    x = 14,774,953,447.77/138,020.82
  6. Step 6: Final answer
    x = 107,048.73

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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.