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Finding the Fourth Proportional to 282,098.88, 389,296.96 and 154,775.38

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Solution

The fourth proportional to 282,098.88, 389,296.96 and 154,775.38 is: 213,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,098.88 : 389,296.96 = 154,775.38 : x
  2. Step 2: Convert to fraction form
    282,098.88/389,296.96 = 154,775.38/x
  3. Step 3: Cross multiply
    282,098.88x = 389,296.96 × 154,775.38
  4. Step 4: Simplify right side
    282,098.88x = 60,253,584,916.84
  5. Step 5: Solve for x
    x = 60,253,584,916.84/282,098.88
  6. Step 6: Final answer
    x = 213,590.30

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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.