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Finding the Fourth Proportional to 138,328.82, 190,911.96 and 77,911.34

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Solution

The fourth proportional to 138,328.82, 190,911.96 and 77,911.34 is: 107,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,328.82 : 190,911.96 = 77,911.34 : x
  2. Step 2: Convert to fraction form
    138,328.82/190,911.96 = 77,911.34/x
  3. Step 3: Cross multiply
    138,328.82x = 190,911.96 × 77,911.34
  4. Step 4: Simplify right side
    138,328.82x = 14,874,206,625.63
  5. Step 5: Solve for x
    x = 14,874,206,625.63/138,328.82
  6. Step 6: Final answer
    x = 107,527.89

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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.