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Finding the Fourth Proportional to 197,252.16, 295,849.08 and 72,564

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Solution

The fourth proportional to 197,252.16, 295,849.08 and 72,564 is: 108,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,252.16 : 295,849.08 = 72,564 : x
  2. Step 2: Convert to fraction form
    197,252.16/295,849.08 = 72,564/x
  3. Step 3: Cross multiply
    197,252.16x = 295,849.08 × 72,564
  4. Step 4: Simplify right side
    197,252.16x = 21,467,992,641.12
  5. Step 5: Solve for x
    x = 21,467,992,641.12/197,252.16
  6. Step 6: Final answer
    x = 108,835.27

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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.