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Finding the Fourth Proportional to 402,156.96, 603,336.96 and 188,885.52

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Solution

The fourth proportional to 402,156.96, 603,336.96 and 188,885.52 is: 283,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,156.96 : 603,336.96 = 188,885.52 : x
  2. Step 2: Convert to fraction form
    402,156.96/603,336.96 = 188,885.52/x
  3. Step 3: Cross multiply
    402,156.96x = 603,336.96 × 188,885.52
  4. Step 4: Simplify right side
    402,156.96x = 113,961,615,424.82
  5. Step 5: Solve for x
    x = 113,961,615,424.82/402,156.96
  6. Step 6: Final answer
    x = 283,375.96

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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.