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Finding the Fourth Proportional to 129,105.95, 178,161.47 and 71,748.84

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Solution

The fourth proportional to 129,105.95, 178,161.47 and 71,748.84 is: 99,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,105.95 : 178,161.47 = 71,748.84 : x
  2. Step 2: Convert to fraction form
    129,105.95/178,161.47 = 71,748.84/x
  3. Step 3: Cross multiply
    129,105.95x = 178,161.47 × 71,748.84
  4. Step 4: Simplify right side
    129,105.95x = 12,782,878,539.16
  5. Step 5: Solve for x
    x = 12,782,878,539.16/129,105.95
  6. Step 6: Final answer
    x = 99,010.76

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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.