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Finding the Fourth Proportional to 208,196.92, 287,795.96 and 185,758.30

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Solution

The fourth proportional to 208,196.92, 287,795.96 and 185,758.30 is: 256,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,196.92 : 287,795.96 = 185,758.30 : x
  2. Step 2: Convert to fraction form
    208,196.92/287,795.96 = 185,758.30/x
  3. Step 3: Cross multiply
    208,196.92x = 287,795.96 × 185,758.30
  4. Step 4: Simplify right side
    208,196.92x = 53,460,487,324.78
  5. Step 5: Solve for x
    x = 53,460,487,324.78/208,196.92
  6. Step 6: Final answer
    x = 256,778.48

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1.5x scale

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.