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Finding the Fourth Proportional to 402,158.96, 603,339.96 and 188,887.52

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Solution

The fourth proportional to 402,158.96, 603,339.96 and 188,887.52 is: 283,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,158.96 : 603,339.96 = 188,887.52 : x
  2. Step 2: Convert to fraction form
    402,158.96/603,339.96 = 188,887.52/x
  3. Step 3: Cross multiply
    402,158.96x = 603,339.96 × 188,887.52
  4. Step 4: Simplify right side
    402,158.96x = 113,963,388,761.30
  5. Step 5: Solve for x
    x = 113,963,388,761.30/402,158.96
  6. Step 6: Final answer
    x = 283,378.96

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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.