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Finding the Fourth Proportional to 149,403.09, 206,176.29 and 81,420.06

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Solution

The fourth proportional to 149,403.09, 206,176.29 and 81,420.06 is: 112,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,403.09 : 206,176.29 = 81,420.06 : x
  2. Step 2: Convert to fraction form
    149,403.09/206,176.29 = 81,420.06/x
  3. Step 3: Cross multiply
    149,403.09x = 206,176.29 × 81,420.06
  4. Step 4: Simplify right side
    149,403.09x = 16,786,885,902.38
  5. Step 5: Solve for x
    x = 16,786,885,902.38/149,403.09
  6. Step 6: Final answer
    x = 112,359.70

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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.