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Finding the Fourth Proportional to 260,090.50, 358,924.89 and 140,858.50

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Solution

The fourth proportional to 260,090.50, 358,924.89 and 140,858.50 is: 194,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,090.50 : 358,924.89 = 140,858.50 : x
  2. Step 2: Convert to fraction form
    260,090.50/358,924.89 = 140,858.50/x
  3. Step 3: Cross multiply
    260,090.50x = 358,924.89 × 140,858.50
  4. Step 4: Simplify right side
    260,090.50x = 50,557,621,618.07
  5. Step 5: Solve for x
    x = 50,557,621,618.07/260,090.50
  6. Step 6: Final answer
    x = 194,384.73

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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.