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Finding the Fourth Proportional to 282,732.02, 424,097.76 and 72,369.62

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Solution

The fourth proportional to 282,732.02, 424,097.76 and 72,369.62 is: 108,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,732.02 : 424,097.76 = 72,369.62 : x
  2. Step 2: Convert to fraction form
    282,732.02/424,097.76 = 72,369.62/x
  3. Step 3: Cross multiply
    282,732.02x = 424,097.76 × 72,369.62
  4. Step 4: Simplify right side
    282,732.02x = 30,691,793,734.05
  5. Step 5: Solve for x
    x = 30,691,793,734.05/282,732.02
  6. Step 6: Final answer
    x = 108,554.36

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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.