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Finding the Fourth Proportional to 247,311, 370,717.24 and 97,493.31

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Solution

The fourth proportional to 247,311, 370,717.24 and 97,493.31 is: 146,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,311 : 370,717.24 = 97,493.31 : x
  2. Step 2: Convert to fraction form
    247,311/370,717.24 = 97,493.31/x
  3. Step 3: Cross multiply
    247,311x = 370,717.24 × 97,493.31
  4. Step 4: Simplify right side
    247,311x = 36,142,450,801.66
  5. Step 5: Solve for x
    x = 36,142,450,801.66/247,311
  6. Step 6: Final answer
    x = 146,141.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.