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Finding the Fourth Proportional to 278,862.57, 384,830.06 and 151,537.86

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Solution

The fourth proportional to 278,862.57, 384,830.06 and 151,537.86 is: 209,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,862.57 : 384,830.06 = 151,537.86 : x
  2. Step 2: Convert to fraction form
    278,862.57/384,830.06 = 151,537.86/x
  3. Step 3: Cross multiply
    278,862.57x = 384,830.06 × 151,537.86
  4. Step 4: Simplify right side
    278,862.57x = 58,316,322,998.38
  5. Step 5: Solve for x
    x = 58,316,322,998.38/278,862.57
  6. Step 6: Final answer
    x = 209,122.09

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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.