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Finding the Fourth Proportional to 312,007.31, 468,071.64 and 119,867.73

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Solution

The fourth proportional to 312,007.31, 468,071.64 and 119,867.73 is: 179,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,007.31 : 468,071.64 = 119,867.73 : x
  2. Step 2: Convert to fraction form
    312,007.31/468,071.64 = 119,867.73/x
  3. Step 3: Cross multiply
    312,007.31x = 468,071.64 × 119,867.73
  4. Step 4: Simplify right side
    312,007.31x = 56,106,684,964.18
  5. Step 5: Solve for x
    x = 56,106,684,964.18/312,007.31
  6. Step 6: Final answer
    x = 179,824.91

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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.