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Finding the Fourth Proportional to 178,166.86, 266,733.16 and 138,604.04

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Solution

The fourth proportional to 178,166.86, 266,733.16 and 138,604.04 is: 207,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,166.86 : 266,733.16 = 138,604.04 : x
  2. Step 2: Convert to fraction form
    178,166.86/266,733.16 = 138,604.04/x
  3. Step 3: Cross multiply
    178,166.86x = 266,733.16 × 138,604.04
  4. Step 4: Simplify right side
    178,166.86x = 36,970,293,577.97
  5. Step 5: Solve for x
    x = 36,970,293,577.97/178,166.86
  6. Step 6: Final answer
    x = 207,503.76

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Why These Related Problems?

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