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Finding the Fourth Proportional to 282,860.20, 424,280.70 and 72,500.20

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Solution

The fourth proportional to 282,860.20, 424,280.70 and 72,500.20 is: 108,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,860.20 : 424,280.70 = 72,500.20 : x
  2. Step 2: Convert to fraction form
    282,860.20/424,280.70 = 72,500.20/x
  3. Step 3: Cross multiply
    282,860.20x = 424,280.70 × 72,500.20
  4. Step 4: Simplify right side
    282,860.20x = 30,760,435,606.14
  5. Step 5: Solve for x
    x = 30,760,435,606.14/282,860.20
  6. Step 6: Final answer
    x = 108,747.84

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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.