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Finding the Fourth Proportional to 232,896.66, 349,344.72 and 99,690.54

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Solution

The fourth proportional to 232,896.66, 349,344.72 and 99,690.54 is: 149,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,896.66 : 349,344.72 = 99,690.54 : x
  2. Step 2: Convert to fraction form
    232,896.66/349,344.72 = 99,690.54/x
  3. Step 3: Cross multiply
    232,896.66x = 349,344.72 × 99,690.54
  4. Step 4: Simplify right side
    232,896.66x = 34,826,363,782.95
  5. Step 5: Solve for x
    x = 34,826,363,782.95/232,896.66
  6. Step 6: Final answer
    x = 149,535.69

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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.