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Finding the Fourth Proportional to 201,405.54, 277,918.10 and 116,506.74

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Solution

The fourth proportional to 201,405.54, 277,918.10 and 116,506.74 is: 160,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,405.54 : 277,918.10 = 116,506.74 : x
  2. Step 2: Convert to fraction form
    201,405.54/277,918.10 = 116,506.74/x
  3. Step 3: Cross multiply
    201,405.54x = 277,918.10 × 116,506.74
  4. Step 4: Simplify right side
    201,405.54x = 32,379,331,817.99
  5. Step 5: Solve for x
    x = 32,379,331,817.99/201,405.54
  6. Step 6: Final answer
    x = 160,766.84

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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.