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Finding the Fourth Proportional to 138,393.74, 190,983.94 and 77,965.10

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Solution

The fourth proportional to 138,393.74, 190,983.94 and 77,965.10 is: 107,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,393.74 : 190,983.94 = 77,965.10 : x
  2. Step 2: Convert to fraction form
    138,393.74/190,983.94 = 77,965.10/x
  3. Step 3: Cross multiply
    138,393.74x = 190,983.94 × 77,965.10
  4. Step 4: Simplify right side
    138,393.74x = 14,890,082,263.04
  5. Step 5: Solve for x
    x = 14,890,082,263.04/138,393.74
  6. Step 6: Final answer
    x = 107,592.17

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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.