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Finding the Fourth Proportional to 103,822.40, 155,906.40 and 57,108.80

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Solution

The fourth proportional to 103,822.40, 155,906.40 and 57,108.80 is: 85,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,822.40 : 155,906.40 = 57,108.80 : x
  2. Step 2: Convert to fraction form
    103,822.40/155,906.40 = 57,108.80/x
  3. Step 3: Cross multiply
    103,822.40x = 155,906.40 × 57,108.80
  4. Step 4: Simplify right side
    103,822.40x = 8,903,627,416.32
  5. Step 5: Solve for x
    x = 8,903,627,416.32/103,822.40
  6. Step 6: Final answer
    x = 85,758.25

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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.