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Finding the Fourth Proportional to 129,131.85, 178,201.01 and 72,543.23

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Solution

The fourth proportional to 129,131.85, 178,201.01 and 72,543.23 is: 100,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,131.85 : 178,201.01 = 72,543.23 : x
  2. Step 2: Convert to fraction form
    129,131.85/178,201.01 = 72,543.23/x
  3. Step 3: Cross multiply
    129,131.85x = 178,201.01 × 72,543.23
  4. Step 4: Simplify right side
    129,131.85x = 12,927,276,227.80
  5. Step 5: Solve for x
    x = 12,927,276,227.80/129,131.85
  6. Step 6: Final answer
    x = 100,109.12

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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.