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Finding the Fourth Proportional to 282,571.94, 389,957.59 and 161,752.04

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Solution

The fourth proportional to 282,571.94, 389,957.59 and 161,752.04 is: 223,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,571.94 : 389,957.59 = 161,752.04 : x
  2. Step 2: Convert to fraction form
    282,571.94/389,957.59 = 161,752.04/x
  3. Step 3: Cross multiply
    282,571.94x = 389,957.59 × 161,752.04
  4. Step 4: Simplify right side
    282,571.94x = 63,076,435,410.73
  5. Step 5: Solve for x
    x = 63,076,435,410.73/282,571.94
  6. Step 6: Final answer
    x = 223,222.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.