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Finding the Fourth Proportional to 144,191.72, 216,213.74 and 76,762.06

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Solution

The fourth proportional to 144,191.72, 216,213.74 and 76,762.06 is: 115,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,191.72 : 216,213.74 = 76,762.06 : x
  2. Step 2: Convert to fraction form
    144,191.72/216,213.74 = 76,762.06/x
  3. Step 3: Cross multiply
    144,191.72x = 216,213.74 × 76,762.06
  4. Step 4: Simplify right side
    144,191.72x = 16,597,012,082.70
  5. Step 5: Solve for x
    x = 16,597,012,082.70/144,191.72
  6. Step 6: Final answer
    x = 115,103.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.