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Finding the Fourth Proportional to 208,224.12, 287,349.38 and 112,730.79

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Solution

The fourth proportional to 208,224.12, 287,349.38 and 112,730.79 is: 155,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224.12 : 287,349.38 = 112,730.79 : x
  2. Step 2: Convert to fraction form
    208,224.12/287,349.38 = 112,730.79/x
  3. Step 3: Cross multiply
    208,224.12x = 287,349.38 × 112,730.79
  4. Step 4: Simplify right side
    208,224.12x = 32,393,122,049.76
  5. Step 5: Solve for x
    x = 32,393,122,049.76/208,224.12
  6. Step 6: Final answer
    x = 155,568.54

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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.