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Finding the Fourth Proportional to 102,311.34, 141,278.97 and 64,136.67

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Solution

The fourth proportional to 102,311.34, 141,278.97 and 64,136.67 is: 88,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,311.34 : 141,278.97 = 64,136.67 : x
  2. Step 2: Convert to fraction form
    102,311.34/141,278.97 = 64,136.67/x
  3. Step 3: Cross multiply
    102,311.34x = 141,278.97 × 64,136.67
  4. Step 4: Simplify right side
    102,311.34x = 9,061,162,676.83
  5. Step 5: Solve for x
    x = 9,061,162,676.83/102,311.34
  6. Step 6: Final answer
    x = 88,564.60

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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.