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Finding the Fourth Proportional to 201,423.30, 277,942.35 and 116,524.50

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Solution

The fourth proportional to 201,423.30, 277,942.35 and 116,524.50 is: 160,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,423.30 : 277,942.35 = 116,524.50 : x
  2. Step 2: Convert to fraction form
    201,423.30/277,942.35 = 116,524.50/x
  3. Step 3: Cross multiply
    201,423.30x = 277,942.35 × 116,524.50
  4. Step 4: Simplify right side
    201,423.30x = 32,387,093,362.58
  5. Step 5: Solve for x
    x = 32,387,093,362.58/201,423.30
  6. Step 6: Final answer
    x = 160,791.20

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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.