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Finding the Fourth Proportional to 349,454.85, 524,182.98 and 96,736.06

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Solution

The fourth proportional to 349,454.85, 524,182.98 and 96,736.06 is: 145,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,454.85 : 524,182.98 = 96,736.06 : x
  2. Step 2: Convert to fraction form
    349,454.85/524,182.98 = 96,736.06/x
  3. Step 3: Cross multiply
    349,454.85x = 524,182.98 × 96,736.06
  4. Step 4: Simplify right side
    349,454.85x = 50,707,396,204.26
  5. Step 5: Solve for x
    x = 50,707,396,204.26/349,454.85
  6. Step 6: Final answer
    x = 145,104.29

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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.