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Finding the Fourth Proportional to 105,712.84, 145,883.76 and 57,965.20

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Solution

The fourth proportional to 105,712.84, 145,883.76 and 57,965.20 is: 79,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712.84 : 145,883.76 = 57,965.20 : x
  2. Step 2: Convert to fraction form
    105,712.84/145,883.76 = 57,965.20/x
  3. Step 3: Cross multiply
    105,712.84x = 145,883.76 × 57,965.20
  4. Step 4: Simplify right side
    105,712.84x = 8,456,181,325.15
  5. Step 5: Solve for x
    x = 8,456,181,325.15/105,712.84
  6. Step 6: Final answer
    x = 79,992.00

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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.