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Finding the Fourth Proportional to 260,092.98, 390,152.97 and 82,613.88

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Solution

The fourth proportional to 260,092.98, 390,152.97 and 82,613.88 is: 123,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,092.98 : 390,152.97 = 82,613.88 : x
  2. Step 2: Convert to fraction form
    260,092.98/390,152.97 = 82,613.88/x
  3. Step 3: Cross multiply
    260,092.98x = 390,152.97 × 82,613.88
  4. Step 4: Simplify right side
    260,092.98x = 32,232,050,645.22
  5. Step 5: Solve for x
    x = 32,232,050,645.22/260,092.98
  6. Step 6: Final answer
    x = 123,925.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.