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Finding the Fourth Proportional to 282,033.60, 422,861.16 and 111,099.04

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Solution

The fourth proportional to 282,033.60, 422,861.16 and 111,099.04 is: 166,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,033.60 : 422,861.16 = 111,099.04 : x
  2. Step 2: Convert to fraction form
    282,033.60/422,861.16 = 111,099.04/x
  3. Step 3: Cross multiply
    282,033.60x = 422,861.16 × 111,099.04
  4. Step 4: Simplify right side
    282,033.60x = 46,979,468,929.29
  5. Step 5: Solve for x
    x = 46,979,468,929.29/282,033.60
  6. Step 6: Final answer
    x = 166,574.01

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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.