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Finding the Fourth Proportional to 204,590.89, 306,689.51 and 104,798.08

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Solution

The fourth proportional to 204,590.89, 306,689.51 and 104,798.08 is: 157,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,590.89 : 306,689.51 = 104,798.08 : x
  2. Step 2: Convert to fraction form
    204,590.89/306,689.51 = 104,798.08/x
  3. Step 3: Cross multiply
    204,590.89x = 306,689.51 × 104,798.08
  4. Step 4: Simplify right side
    204,590.89x = 32,140,469,746.70
  5. Step 5: Solve for x
    x = 32,140,469,746.70/204,590.89
  6. Step 6: Final answer
    x = 157,096.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.