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Finding the Fourth Proportional to 102,722.68, 141,754.58 and 57,401.04

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Solution

The fourth proportional to 102,722.68, 141,754.58 and 57,401.04 is: 79,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,722.68 : 141,754.58 = 57,401.04 : x
  2. Step 2: Convert to fraction form
    102,722.68/141,754.58 = 57,401.04/x
  3. Step 3: Cross multiply
    102,722.68x = 141,754.58 × 57,401.04
  4. Step 4: Simplify right side
    102,722.68x = 8,136,860,316.76
  5. Step 5: Solve for x
    x = 8,136,860,316.76/102,722.68
  6. Step 6: Final answer
    x = 79,211.92

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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.