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Finding the Fourth Proportional to 251,525.64, 377,208.38 and 83,014.58

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Solution

The fourth proportional to 251,525.64, 377,208.38 and 83,014.58 is: 124,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,525.64 : 377,208.38 = 83,014.58 : x
  2. Step 2: Convert to fraction form
    251,525.64/377,208.38 = 83,014.58/x
  3. Step 3: Cross multiply
    251,525.64x = 377,208.38 × 83,014.58
  4. Step 4: Simplify right side
    251,525.64x = 31,313,795,238.18
  5. Step 5: Solve for x
    x = 31,313,795,238.18/251,525.64
  6. Step 6: Final answer
    x = 124,495.44

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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.