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Finding the Fourth Proportional to 189,199.61, 283,668.19 and 100,515.39

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Solution

The fourth proportional to 189,199.61, 283,668.19 and 100,515.39 is: 150,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,199.61 : 283,668.19 = 100,515.39 : x
  2. Step 2: Convert to fraction form
    189,199.61/283,668.19 = 100,515.39/x
  3. Step 3: Cross multiply
    189,199.61x = 283,668.19 × 100,515.39
  4. Step 4: Simplify right side
    189,199.61x = 28,513,018,748.44
  5. Step 5: Solve for x
    x = 28,513,018,748.44/189,199.61
  6. Step 6: Final answer
    x = 150,703.37

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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.