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Finding the Fourth Proportional to 251,053.38, 346,453.24 and 137,876.12

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Solution

The fourth proportional to 251,053.38, 346,453.24 and 137,876.12 is: 190,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,053.38 : 346,453.24 = 137,876.12 : x
  2. Step 2: Convert to fraction form
    251,053.38/346,453.24 = 137,876.12/x
  3. Step 3: Cross multiply
    251,053.38x = 346,453.24 × 137,876.12
  4. Step 4: Simplify right side
    251,053.38x = 47,767,628,492.63
  5. Step 5: Solve for x
    x = 47,767,628,492.63/251,053.38
  6. Step 6: Final answer
    x = 190,268.81

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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.