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Finding the Fourth Proportional to 208,204.54, 287,806.48 and 185,765.92

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Solution

The fourth proportional to 208,204.54, 287,806.48 and 185,765.92 is: 256,789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,204.54 : 287,806.48 = 185,765.92 : x
  2. Step 2: Convert to fraction form
    208,204.54/287,806.48 = 185,765.92/x
  3. Step 3: Cross multiply
    208,204.54x = 287,806.48 × 185,765.92
  4. Step 4: Simplify right side
    208,204.54x = 53,464,635,539.16
  5. Step 5: Solve for x
    x = 53,464,635,539.16/208,204.54
  6. Step 6: Final answer
    x = 256,789.00

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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.