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Finding the Fourth Proportional to 213,298.29, 320,005.79 and 93,333.44

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Solution

The fourth proportional to 213,298.29, 320,005.79 and 93,333.44 is: 140,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,298.29 : 320,005.79 = 93,333.44 : x
  2. Step 2: Convert to fraction form
    213,298.29/320,005.79 = 93,333.44/x
  3. Step 3: Cross multiply
    213,298.29x = 320,005.79 × 93,333.44
  4. Step 4: Simplify right side
    213,298.29x = 29,867,239,133.92
  5. Step 5: Solve for x
    x = 29,867,239,133.92/213,298.29
  6. Step 6: Final answer
    x = 140,025.68

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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.