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Finding the Fourth Proportional to 251,850.12, 377,684.43 and 83,339.34

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Solution

The fourth proportional to 251,850.12, 377,684.43 and 83,339.34 is: 124,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,850.12 : 377,684.43 = 83,339.34 : x
  2. Step 2: Convert to fraction form
    251,850.12/377,684.43 = 83,339.34/x
  3. Step 3: Cross multiply
    251,850.12x = 377,684.43 × 83,339.34
  4. Step 4: Simplify right side
    251,850.12x = 31,475,971,124.48
  5. Step 5: Solve for x
    x = 31,475,971,124.48/251,850.12
  6. Step 6: Final answer
    x = 124,978.98

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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.