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Finding the Fourth Proportional to 371,855.46, 513,164.52 and 202,089.60

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Solution

The fourth proportional to 371,855.46, 513,164.52 and 202,089.60 is: 278,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,855.46 : 513,164.52 = 202,089.60 : x
  2. Step 2: Convert to fraction form
    371,855.46/513,164.52 = 202,089.60/x
  3. Step 3: Cross multiply
    371,855.46x = 513,164.52 × 202,089.60
  4. Step 4: Simplify right side
    371,855.46x = 103,705,212,580.99
  5. Step 5: Solve for x
    x = 103,705,212,580.99/371,855.46
  6. Step 6: Final answer
    x = 278,885.81

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Why These Related Problems?

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