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Finding the Fourth Proportional to 282,444, 423,665.62 and 72,081.94

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Solution

The fourth proportional to 282,444, 423,665.62 and 72,081.94 is: 108,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,444 : 423,665.62 = 72,081.94 : x
  2. Step 2: Convert to fraction form
    282,444/423,665.62 = 72,081.94/x
  3. Step 3: Cross multiply
    282,444x = 423,665.62 × 72,081.94
  4. Step 4: Simplify right side
    282,444x = 30,538,639,800.90
  5. Step 5: Solve for x
    x = 30,538,639,800.90/282,444
  6. Step 6: Final answer
    x = 108,122.81

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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.