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Finding the Fourth Proportional to 282,466.52, 423,699.64 and 72,104.39

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Solution

The fourth proportional to 282,466.52, 423,699.64 and 72,104.39 is: 108,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,466.52 : 423,699.64 = 72,104.39 : x
  2. Step 2: Convert to fraction form
    282,466.52/423,699.64 = 72,104.39/x
  3. Step 3: Cross multiply
    282,466.52x = 423,699.64 × 72,104.39
  4. Step 4: Simplify right side
    282,466.52x = 30,550,601,786.66
  5. Step 5: Solve for x
    x = 30,550,601,786.66/282,466.52
  6. Step 6: Final answer
    x = 108,156.54

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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.