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Finding the Fourth Proportional to 251,282, 346,747.56 and 147,905.24

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Solution

The fourth proportional to 251,282, 346,747.56 and 147,905.24 is: 204,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,282 : 346,747.56 = 147,905.24 : x
  2. Step 2: Convert to fraction form
    251,282/346,747.56 = 147,905.24/x
  3. Step 3: Cross multiply
    251,282x = 346,747.56 × 147,905.24
  4. Step 4: Simplify right side
    251,282x = 51,285,781,081.21
  5. Step 5: Solve for x
    x = 51,285,781,081.21/251,282
  6. Step 6: Final answer
    x = 204,096.52

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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.