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Finding the Fourth Proportional to 260,224.08, 359,109.64 and 140,992.08

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Solution

The fourth proportional to 260,224.08, 359,109.64 and 140,992.08 is: 194,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,224.08 : 359,109.64 = 140,992.08 : x
  2. Step 2: Convert to fraction form
    260,224.08/359,109.64 = 140,992.08/x
  3. Step 3: Cross multiply
    260,224.08x = 359,109.64 × 140,992.08
  4. Step 4: Simplify right side
    260,224.08x = 50,631,615,091.65
  5. Step 5: Solve for x
    x = 50,631,615,091.65/260,224.08
  6. Step 6: Final answer
    x = 194,569.29

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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.