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Finding the Fourth Proportional to 278,506.94, 384,339.22 and 151,182.52

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Solution

The fourth proportional to 278,506.94, 384,339.22 and 151,182.52 is: 208,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,506.94 : 384,339.22 = 151,182.52 : x
  2. Step 2: Convert to fraction form
    278,506.94/384,339.22 = 151,182.52/x
  3. Step 3: Cross multiply
    278,506.94x = 384,339.22 × 151,182.52
  4. Step 4: Simplify right side
    278,506.94x = 58,105,371,814.43
  5. Step 5: Solve for x
    x = 58,105,371,814.43/278,506.94
  6. Step 6: Final answer
    x = 208,631.68

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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.