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Finding the Fourth Proportional to 103,735.80, 155,603.70 and 51,247.80

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Solution

The fourth proportional to 103,735.80, 155,603.70 and 51,247.80 is: 76,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,735.80 : 155,603.70 = 51,247.80 : x
  2. Step 2: Convert to fraction form
    103,735.80/155,603.70 = 51,247.80/x
  3. Step 3: Cross multiply
    103,735.80x = 155,603.70 × 51,247.80
  4. Step 4: Simplify right side
    103,735.80x = 7,974,347,296.86
  5. Step 5: Solve for x
    x = 7,974,347,296.86/103,735.80
  6. Step 6: Final answer
    x = 76,871.70

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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.