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Finding the Fourth Proportional to 278,895.35, 384,878.57 and 151,571.00

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Solution

The fourth proportional to 278,895.35, 384,878.57 and 151,571.00 is: 209,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,895.35 : 384,878.57 = 151,571.00 : x
  2. Step 2: Convert to fraction form
    278,895.35/384,878.57 = 151,571.00/x
  3. Step 3: Cross multiply
    278,895.35x = 384,878.57 × 151,571.00
  4. Step 4: Simplify right side
    278,895.35x = 58,336,427,051.22
  5. Step 5: Solve for x
    x = 58,336,427,051.22/278,895.35
  6. Step 6: Final answer
    x = 209,169.60

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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.