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Finding the Fourth Proportional to 282,409.72, 423,696.57 and 113,843.05

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Solution

The fourth proportional to 282,409.72, 423,696.57 and 113,843.05 is: 170,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,409.72 : 423,696.57 = 113,843.05 : x
  2. Step 2: Convert to fraction form
    282,409.72/423,696.57 = 113,843.05/x
  3. Step 3: Cross multiply
    282,409.72x = 423,696.57 × 113,843.05
  4. Step 4: Simplify right side
    282,409.72x = 48,234,909,803.34
  5. Step 5: Solve for x
    x = 48,234,909,803.34/282,409.72
  6. Step 6: Final answer
    x = 170,797.63

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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.