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Finding the Fourth Proportional to 205,013.38, 307,518.24 and 64,772

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Solution

The fourth proportional to 205,013.38, 307,518.24 and 64,772 is: 97,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,013.38 : 307,518.24 = 64,772 : x
  2. Step 2: Convert to fraction form
    205,013.38/307,518.24 = 64,772/x
  3. Step 3: Cross multiply
    205,013.38x = 307,518.24 × 64,772
  4. Step 4: Simplify right side
    205,013.38x = 19,918,571,441.28
  5. Step 5: Solve for x
    x = 19,918,571,441.28/205,013.38
  6. Step 6: Final answer
    x = 97,157.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.