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Finding the Fourth Proportional to 309,503.69, 426,957.90 and 202,136.57

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Solution

The fourth proportional to 309,503.69, 426,957.90 and 202,136.57 is: 278,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,503.69 : 426,957.90 = 202,136.57 : x
  2. Step 2: Convert to fraction form
    309,503.69/426,957.90 = 202,136.57/x
  3. Step 3: Cross multiply
    309,503.69x = 426,957.90 × 202,136.57
  4. Step 4: Simplify right side
    309,503.69x = 86,303,805,633.77
  5. Step 5: Solve for x
    x = 86,303,805,633.77/309,503.69
  6. Step 6: Final answer
    x = 278,845.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.