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Finding the Fourth Proportional to 409,179.94, 613,769.92 and 124,871.95

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Solution

The fourth proportional to 409,179.94, 613,769.92 and 124,871.95 is: 187,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,179.94 : 613,769.92 = 124,871.95 : x
  2. Step 2: Convert to fraction form
    409,179.94/613,769.92 = 124,871.95/x
  3. Step 3: Cross multiply
    409,179.94x = 613,769.92 × 124,871.95
  4. Step 4: Simplify right side
    409,179.94x = 76,642,645,037.04
  5. Step 5: Solve for x
    x = 76,642,645,037.04/409,179.94
  6. Step 6: Final answer
    x = 187,307.92

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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.