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Finding the Fourth Proportional to 183,208.79, 274,942.98 and 83,381.82

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Solution

The fourth proportional to 183,208.79, 274,942.98 and 83,381.82 is: 125,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,208.79 : 274,942.98 = 83,381.82 : x
  2. Step 2: Convert to fraction form
    183,208.79/274,942.98 = 83,381.82/x
  3. Step 3: Cross multiply
    183,208.79x = 274,942.98 × 83,381.82
  4. Step 4: Simplify right side
    183,208.79x = 22,925,246,068.62
  5. Step 5: Solve for x
    x = 22,925,246,068.62/183,208.79
  6. Step 6: Final answer
    x = 125,131.81

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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.