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Finding the Fourth Proportional to 213,141.72, 319,498.74 and 72,804.36

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Solution

The fourth proportional to 213,141.72, 319,498.74 and 72,804.36 is: 109,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,141.72 : 319,498.74 = 72,804.36 : x
  2. Step 2: Convert to fraction form
    213,141.72/319,498.74 = 72,804.36/x
  3. Step 3: Cross multiply
    213,141.72x = 319,498.74 × 72,804.36
  4. Step 4: Simplify right side
    213,141.72x = 23,260,901,286.51
  5. Step 5: Solve for x
    x = 23,260,901,286.51/213,141.72
  6. Step 6: Final answer
    x = 109,133.50

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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.