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Finding the Fourth Proportional to 282,786.84, 424,158.30 and 164,382.60

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Solution

The fourth proportional to 282,786.84, 424,158.30 and 164,382.60 is: 246,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,786.84 : 424,158.30 = 164,382.60 : x
  2. Step 2: Convert to fraction form
    282,786.84/424,158.30 = 164,382.60/x
  3. Step 3: Cross multiply
    282,786.84x = 424,158.30 × 164,382.60
  4. Step 4: Simplify right side
    282,786.84x = 69,724,244,165.58
  5. Step 5: Solve for x
    x = 69,724,244,165.58/282,786.84
  6. Step 6: Final answer
    x = 246,561.13

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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.