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Finding the Fourth Proportional to 260,214, 359,095.68 and 140,982

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Solution

The fourth proportional to 260,214, 359,095.68 and 140,982 is: 194,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,214 : 359,095.68 = 140,982 : x
  2. Step 2: Convert to fraction form
    260,214/359,095.68 = 140,982/x
  3. Step 3: Cross multiply
    260,214x = 359,095.68 × 140,982
  4. Step 4: Simplify right side
    260,214x = 50,626,027,157.76
  5. Step 5: Solve for x
    x = 50,626,027,157.76/260,214
  6. Step 6: Final answer
    x = 194,555.36

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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.