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Finding the Fourth Proportional to 231,421.02, 319,500.36 and 150,988.02

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Solution

The fourth proportional to 231,421.02, 319,500.36 and 150,988.02 is: 208,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,421.02 : 319,500.36 = 150,988.02 : x
  2. Step 2: Convert to fraction form
    231,421.02/319,500.36 = 150,988.02/x
  3. Step 3: Cross multiply
    231,421.02x = 319,500.36 × 150,988.02
  4. Step 4: Simplify right side
    231,421.02x = 48,240,726,745.69
  5. Step 5: Solve for x
    x = 48,240,726,745.69/231,421.02
  6. Step 6: Final answer
    x = 208,454.39

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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.