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Finding the Fourth Proportional to 312,296.00, 468,447.82 and 109,898.14

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Solution

The fourth proportional to 312,296.00, 468,447.82 and 109,898.14 is: 164,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,296.00 : 468,447.82 = 109,898.14 : x
  2. Step 2: Convert to fraction form
    312,296.00/468,447.82 = 109,898.14/x
  3. Step 3: Cross multiply
    312,296.00x = 468,447.82 × 109,898.14
  4. Step 4: Simplify right side
    312,296.00x = 51,481,544,155.71
  5. Step 5: Solve for x
    x = 51,481,544,155.71/312,296.00
  6. Step 6: Final answer
    x = 164,848.56

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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.