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Finding the Fourth Proportional to 260,292, 359,203.20 and 141,060

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Solution

The fourth proportional to 260,292, 359,203.20 and 141,060 is: 194,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,292 : 359,203.20 = 141,060 : x
  2. Step 2: Convert to fraction form
    260,292/359,203.20 = 141,060/x
  3. Step 3: Cross multiply
    260,292x = 359,203.20 × 141,060
  4. Step 4: Simplify right side
    260,292x = 50,669,203,392
  5. Step 5: Solve for x
    x = 50,669,203,392/260,292
  6. Step 6: Final answer
    x = 194,662.93

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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.