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Finding the Fourth Proportional to 278,502.84, 384,334.38 and 151,178.58

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Solution

The fourth proportional to 278,502.84, 384,334.38 and 151,178.58 is: 208,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,502.84 : 384,334.38 = 151,178.58 : x
  2. Step 2: Convert to fraction form
    278,502.84/384,334.38 = 151,178.58/x
  3. Step 3: Cross multiply
    278,502.84x = 384,334.38 × 151,178.58
  4. Step 4: Simplify right side
    278,502.84x = 58,103,125,813.58
  5. Step 5: Solve for x
    x = 58,103,125,813.58/278,502.84
  6. Step 6: Final answer
    x = 208,626.69

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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.