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Finding the Fourth Proportional to 278,537.64, 384,386.58 and 151,213.26

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Solution

The fourth proportional to 278,537.64, 384,386.58 and 151,213.26 is: 208,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,537.64 : 384,386.58 = 151,213.26 : x
  2. Step 2: Convert to fraction form
    278,537.64/384,386.58 = 151,213.26/x
  3. Step 3: Cross multiply
    278,537.64x = 384,386.58 × 151,213.26
  4. Step 4: Simplify right side
    278,537.64x = 58,124,347,862.05
  5. Step 5: Solve for x
    x = 58,124,347,862.05/278,537.64
  6. Step 6: Final answer
    x = 208,676.82

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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.