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Finding the Fourth Proportional to 278,963.70, 384,965.37 and 151,642.50

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Solution

The fourth proportional to 278,963.70, 384,965.37 and 151,642.50 is: 209,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,963.70 : 384,965.37 = 151,642.50 : x
  2. Step 2: Convert to fraction form
    278,963.70/384,965.37 = 151,642.50/x
  3. Step 3: Cross multiply
    278,963.70x = 384,965.37 × 151,642.50
  4. Step 4: Simplify right side
    278,963.70x = 58,377,111,120.23
  5. Step 5: Solve for x
    x = 58,377,111,120.23/278,963.70
  6. Step 6: Final answer
    x = 209,264.18

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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.