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Finding the Fourth Proportional to 103,817.40, 155,622.42 and 51,264.60

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Solution

The fourth proportional to 103,817.40, 155,622.42 and 51,264.60 is: 76,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,817.40 : 155,622.42 = 51,264.60 : x
  2. Step 2: Convert to fraction form
    103,817.40/155,622.42 = 51,264.60/x
  3. Step 3: Cross multiply
    103,817.40x = 155,622.42 × 51,264.60
  4. Step 4: Simplify right side
    103,817.40x = 7,977,921,112.33
  5. Step 5: Solve for x
    x = 7,977,921,112.33/103,817.40
  6. Step 6: Final answer
    x = 76,845.70

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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.