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Finding the Fourth Proportional to 251,053, 346,453.14 and 137,883.04

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Solution

The fourth proportional to 251,053, 346,453.14 and 137,883.04 is: 190,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,053 : 346,453.14 = 137,883.04 : x
  2. Step 2: Convert to fraction form
    251,053/346,453.14 = 137,883.04/x
  3. Step 3: Cross multiply
    251,053x = 346,453.14 × 137,883.04
  4. Step 4: Simplify right side
    251,053x = 47,770,012,160.75
  5. Step 5: Solve for x
    x = 47,770,012,160.75/251,053
  6. Step 6: Final answer
    x = 190,278.60

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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.