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Finding the Fourth Proportional to 213,284.16, 319,943.25 and 73,044

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Solution

The fourth proportional to 213,284.16, 319,943.25 and 73,044 is: 109,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,284.16 : 319,943.25 = 73,044 : x
  2. Step 2: Convert to fraction form
    213,284.16/319,943.25 = 73,044/x
  3. Step 3: Cross multiply
    213,284.16x = 319,943.25 × 73,044
  4. Step 4: Simplify right side
    213,284.16x = 23,369,934,753
  5. Step 5: Solve for x
    x = 23,369,934,753/213,284.16
  6. Step 6: Final answer
    x = 109,571.83

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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.