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Finding the Fourth Proportional to 193,801.60, 290,702.40 and 51,646.60

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Solution

The fourth proportional to 193,801.60, 290,702.40 and 51,646.60 is: 77,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,801.60 : 290,702.40 = 51,646.60 : x
  2. Step 2: Convert to fraction form
    193,801.60/290,702.40 = 51,646.60/x
  3. Step 3: Cross multiply
    193,801.60x = 290,702.40 × 51,646.60
  4. Step 4: Simplify right side
    193,801.60x = 15,013,790,571.84
  5. Step 5: Solve for x
    x = 15,013,790,571.84/193,801.60
  6. Step 6: Final answer
    x = 77,469.90

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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.