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Finding the Fourth Proportional to 206,596.60, 309,303.60 and 127,176.10

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Solution

The fourth proportional to 206,596.60, 309,303.60 and 127,176.10 is: 190,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,596.60 : 309,303.60 = 127,176.10 : x
  2. Step 2: Convert to fraction form
    206,596.60/309,303.60 = 127,176.10/x
  3. Step 3: Cross multiply
    206,596.60x = 309,303.60 × 127,176.10
  4. Step 4: Simplify right side
    206,596.60x = 39,336,025,563.96
  5. Step 5: Solve for x
    x = 39,336,025,563.96/206,596.60
  6. Step 6: Final answer
    x = 190,400.16

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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.