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Finding the Fourth Proportional to 260,089, 358,922.82 and 140,857

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Solution

The fourth proportional to 260,089, 358,922.82 and 140,857 is: 194,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,089 : 358,922.82 = 140,857 : x
  2. Step 2: Convert to fraction form
    260,089/358,922.82 = 140,857/x
  3. Step 3: Cross multiply
    260,089x = 358,922.82 × 140,857
  4. Step 4: Simplify right side
    260,089x = 50,556,791,656.74
  5. Step 5: Solve for x
    x = 50,556,791,656.74/260,089
  6. Step 6: Final answer
    x = 194,382.66

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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.