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Finding the Fourth Proportional to 232,107.68, 348,185.76 and 99,002

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Solution

The fourth proportional to 232,107.68, 348,185.76 and 99,002 is: 148,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,107.68 : 348,185.76 = 99,002 : x
  2. Step 2: Convert to fraction form
    232,107.68/348,185.76 = 99,002/x
  3. Step 3: Cross multiply
    232,107.68x = 348,185.76 × 99,002
  4. Step 4: Simplify right side
    232,107.68x = 34,471,086,611.52
  5. Step 5: Solve for x
    x = 34,471,086,611.52/232,107.68
  6. Step 6: Final answer
    x = 148,513.34

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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.