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Finding the Fourth Proportional to 371,880.78, 513,195.54 and 202,114.91

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Solution

The fourth proportional to 371,880.78, 513,195.54 and 202,114.91 is: 278,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,880.78 : 513,195.54 = 202,114.91 : x
  2. Step 2: Convert to fraction form
    371,880.78/513,195.54 = 202,114.91/x
  3. Step 3: Cross multiply
    371,880.78x = 513,195.54 × 202,114.91
  4. Step 4: Simplify right side
    371,880.78x = 103,724,470,379.50
  5. Step 5: Solve for x
    x = 103,724,470,379.50/371,880.78
  6. Step 6: Final answer
    x = 278,918.61

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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.