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Finding the Fourth Proportional to 123,896.94, 185,852.43 and 35,143.43

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Solution

The fourth proportional to 123,896.94, 185,852.43 and 35,143.43 is: 52,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,896.94 : 185,852.43 = 35,143.43 : x
  2. Step 2: Convert to fraction form
    123,896.94/185,852.43 = 35,143.43/x
  3. Step 3: Cross multiply
    123,896.94x = 185,852.43 × 35,143.43
  4. Step 4: Simplify right side
    123,896.94x = 6,531,490,934.77
  5. Step 5: Solve for x
    x = 6,531,490,934.77/123,896.94
  6. Step 6: Final answer
    x = 52,717.13

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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.