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Finding the Fourth Proportional to 102,515.34, 141,474.66 and 59,491.50

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Solution

The fourth proportional to 102,515.34, 141,474.66 and 59,491.50 is: 82,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515.34 : 141,474.66 = 59,491.50 : x
  2. Step 2: Convert to fraction form
    102,515.34/141,474.66 = 59,491.50/x
  3. Step 3: Cross multiply
    102,515.34x = 141,474.66 × 59,491.50
  4. Step 4: Simplify right side
    102,515.34x = 8,416,539,735.39
  5. Step 5: Solve for x
    x = 8,416,539,735.39/102,515.34
  6. Step 6: Final answer
    x = 82,100.30

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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.