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Finding the Fourth Proportional to 260,271, 359,174.52 and 141,039

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Solution

The fourth proportional to 260,271, 359,174.52 and 141,039 is: 194,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,271 : 359,174.52 = 141,039 : x
  2. Step 2: Convert to fraction form
    260,271/359,174.52 = 141,039/x
  3. Step 3: Cross multiply
    260,271x = 359,174.52 × 141,039
  4. Step 4: Simplify right side
    260,271x = 50,657,615,126.28
  5. Step 5: Solve for x
    x = 50,657,615,126.28/260,271
  6. Step 6: Final answer
    x = 194,634.11

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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.