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Finding the Fourth Proportional to 232,876.44, 349,022.40 and 99,600

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Solution

The fourth proportional to 232,876.44, 349,022.40 and 99,600 is: 149,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,876.44 : 349,022.40 = 99,600 : x
  2. Step 2: Convert to fraction form
    232,876.44/349,022.40 = 99,600/x
  3. Step 3: Cross multiply
    232,876.44x = 349,022.40 × 99,600
  4. Step 4: Simplify right side
    232,876.44x = 34,762,631,040
  5. Step 5: Solve for x
    x = 34,762,631,040/232,876.44
  6. Step 6: Final answer
    x = 149,275.00

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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.