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Finding the Fourth Proportional to 100,197.60, 150,283.44 and 37,860

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Solution

The fourth proportional to 100,197.60, 150,283.44 and 37,860 is: 56,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197.60 : 150,283.44 = 37,860 : x
  2. Step 2: Convert to fraction form
    100,197.60/150,283.44 = 37,860/x
  3. Step 3: Cross multiply
    100,197.60x = 150,283.44 × 37,860
  4. Step 4: Simplify right side
    100,197.60x = 5,689,731,038.40
  5. Step 5: Solve for x
    x = 5,689,731,038.40/100,197.60
  6. Step 6: Final answer
    x = 56,785.10

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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.