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Finding the Fourth Proportional to 105,515.84, 145,611.78 and 57,769.17

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Solution

The fourth proportional to 105,515.84, 145,611.78 and 57,769.17 is: 79,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,515.84 : 145,611.78 = 57,769.17 : x
  2. Step 2: Convert to fraction form
    105,515.84/145,611.78 = 57,769.17/x
  3. Step 3: Cross multiply
    105,515.84x = 145,611.78 × 57,769.17
  4. Step 4: Simplify right side
    105,515.84x = 8,411,871,817.25
  5. Step 5: Solve for x
    x = 8,411,871,817.25/105,515.84
  6. Step 6: Final answer
    x = 79,721.42

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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.