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Finding the Fourth Proportional to 260,093.50, 358,929.03 and 140,861.50

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Solution

The fourth proportional to 260,093.50, 358,929.03 and 140,861.50 is: 194,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,093.50 : 358,929.03 = 140,861.50 : x
  2. Step 2: Convert to fraction form
    260,093.50/358,929.03 = 140,861.50/x
  3. Step 3: Cross multiply
    260,093.50x = 358,929.03 × 140,861.50
  4. Step 4: Simplify right side
    260,093.50x = 50,559,281,559.35
  5. Step 5: Solve for x
    x = 50,559,281,559.35/260,093.50
  6. Step 6: Final answer
    x = 194,388.87

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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.