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Finding the Fourth Proportional to 259,599.42, 389,250.09 and 101,642.94

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Solution

The fourth proportional to 259,599.42, 389,250.09 and 101,642.94 is: 152,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,599.42 : 389,250.09 = 101,642.94 : x
  2. Step 2: Convert to fraction form
    259,599.42/389,250.09 = 101,642.94/x
  3. Step 3: Cross multiply
    259,599.42x = 389,250.09 × 101,642.94
  4. Step 4: Simplify right side
    259,599.42x = 39,564,523,542.86
  5. Step 5: Solve for x
    x = 39,564,523,542.86/259,599.42
  6. Step 6: Final answer
    x = 152,406.06

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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.