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Finding the Fourth Proportional to 260,363.85, 390,542.13 and 102,593.67

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Solution

The fourth proportional to 260,363.85, 390,542.13 and 102,593.67 is: 153,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,363.85 : 390,542.13 = 102,593.67 : x
  2. Step 2: Convert to fraction form
    260,363.85/390,542.13 = 102,593.67/x
  3. Step 3: Cross multiply
    260,363.85x = 390,542.13 × 102,593.67
  4. Step 4: Simplify right side
    260,363.85x = 40,067,150,406.32
  5. Step 5: Solve for x
    x = 40,067,150,406.32/260,363.85
  6. Step 6: Final answer
    x = 153,889.07

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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.