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Finding the Fourth Proportional to 103,782.84, 143,209.98 and 58,459.56

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Solution

The fourth proportional to 103,782.84, 143,209.98 and 58,459.56 is: 80,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,782.84 : 143,209.98 = 58,459.56 : x
  2. Step 2: Convert to fraction form
    103,782.84/143,209.98 = 58,459.56/x
  3. Step 3: Cross multiply
    103,782.84x = 143,209.98 × 58,459.56
  4. Step 4: Simplify right side
    103,782.84x = 8,371,992,418.41
  5. Step 5: Solve for x
    x = 8,371,992,418.41/103,782.84
  6. Step 6: Final answer
    x = 80,668.37

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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.