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Finding the Fourth Proportional to 105,710, 145,884.21 and 57,965.18

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Solution

The fourth proportional to 105,710, 145,884.21 and 57,965.18 is: 79,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,710 : 145,884.21 = 57,965.18 : x
  2. Step 2: Convert to fraction form
    105,710/145,884.21 = 57,965.18/x
  3. Step 3: Cross multiply
    105,710x = 145,884.21 × 57,965.18
  4. Step 4: Simplify right side
    105,710x = 8,456,204,491.81
  5. Step 5: Solve for x
    x = 8,456,204,491.81/105,710
  6. Step 6: Final answer
    x = 79,994.37

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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.