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Finding the Fourth Proportional to 296,695.88, 444,876.16 and 116,837

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Solution

The fourth proportional to 296,695.88, 444,876.16 and 116,837 is: 175,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,695.88 : 444,876.16 = 116,837 : x
  2. Step 2: Convert to fraction form
    296,695.88/444,876.16 = 116,837/x
  3. Step 3: Cross multiply
    296,695.88x = 444,876.16 × 116,837
  4. Step 4: Simplify right side
    296,695.88x = 51,977,995,905.92
  5. Step 5: Solve for x
    x = 51,977,995,905.92/296,695.88
  6. Step 6: Final answer
    x = 175,189.48

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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.