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Finding the Fourth Proportional to 251,258.78, 346,750.38 and 142,384.20

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Solution

The fourth proportional to 251,258.78, 346,750.38 and 142,384.20 is: 196,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,258.78 : 346,750.38 = 142,384.20 : x
  2. Step 2: Convert to fraction form
    251,258.78/346,750.38 = 142,384.20/x
  3. Step 3: Cross multiply
    251,258.78x = 346,750.38 × 142,384.20
  4. Step 4: Simplify right side
    251,258.78x = 49,371,775,456.00
  5. Step 5: Solve for x
    x = 49,371,775,456.00/251,258.78
  6. Step 6: Final answer
    x = 196,497.72

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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.