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Finding the Fourth Proportional to 260,293, 359,204.58 and 141,061

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Solution

The fourth proportional to 260,293, 359,204.58 and 141,061 is: 194,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,293 : 359,204.58 = 141,061 : x
  2. Step 2: Convert to fraction form
    260,293/359,204.58 = 141,061/x
  3. Step 3: Cross multiply
    260,293x = 359,204.58 × 141,061
  4. Step 4: Simplify right side
    260,293x = 50,669,757,259.38
  5. Step 5: Solve for x
    x = 50,669,757,259.38/260,293
  6. Step 6: Final answer
    x = 194,664.31

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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.