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Finding the Fourth Proportional to 251,102.56, 346,437.06 and 142,192

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Solution

The fourth proportional to 251,102.56, 346,437.06 and 142,192 is: 196,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,102.56 : 346,437.06 = 142,192 : x
  2. Step 2: Convert to fraction form
    251,102.56/346,437.06 = 142,192/x
  3. Step 3: Cross multiply
    251,102.56x = 346,437.06 × 142,192
  4. Step 4: Simplify right side
    251,102.56x = 49,260,578,435.52
  5. Step 5: Solve for x
    x = 49,260,578,435.52/251,102.56
  6. Step 6: Final answer
    x = 196,177.13

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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.