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Finding the Fourth Proportional to 353,144.95, 529,733.75 and 116,508.31

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Solution

The fourth proportional to 353,144.95, 529,733.75 and 116,508.31 is: 174,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,144.95 : 529,733.75 = 116,508.31 : x
  2. Step 2: Convert to fraction form
    353,144.95/529,733.75 = 116,508.31/x
  3. Step 3: Cross multiply
    353,144.95x = 529,733.75 × 116,508.31
  4. Step 4: Simplify right side
    353,144.95x = 61,718,383,379.92
  5. Step 5: Solve for x
    x = 61,718,383,379.92/353,144.95
  6. Step 6: Final answer
    x = 174,767.85

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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.