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Finding the Fourth Proportional to 260,466, 359,445.25 and 141,234

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Solution

The fourth proportional to 260,466, 359,445.25 and 141,234 is: 194,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,466 : 359,445.25 = 141,234 : x
  2. Step 2: Convert to fraction form
    260,466/359,445.25 = 141,234/x
  3. Step 3: Cross multiply
    260,466x = 359,445.25 × 141,234
  4. Step 4: Simplify right side
    260,466x = 50,765,890,438.50
  5. Step 5: Solve for x
    x = 50,765,890,438.50/260,466
  6. Step 6: Final answer
    x = 194,904.10

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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.