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Finding the Fourth Proportional to 129,093.68, 178,166.01 and 72,505.07

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Solution

The fourth proportional to 129,093.68, 178,166.01 and 72,505.07 is: 100,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,093.68 : 178,166.01 = 72,505.07 : x
  2. Step 2: Convert to fraction form
    129,093.68/178,166.01 = 72,505.07/x
  3. Step 3: Cross multiply
    129,093.68x = 178,166.01 × 72,505.07
  4. Step 4: Simplify right side
    129,093.68x = 12,917,939,026.67
  5. Step 5: Solve for x
    x = 12,917,939,026.67/129,093.68
  6. Step 6: Final answer
    x = 100,066.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.