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Finding the Fourth Proportional to 199,503.84, 299,197.32 and 164,356.32

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Solution

The fourth proportional to 199,503.84, 299,197.32 and 164,356.32 is: 246,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,503.84 : 299,197.32 = 164,356.32 : x
  2. Step 2: Convert to fraction form
    199,503.84/299,197.32 = 164,356.32/x
  3. Step 3: Cross multiply
    199,503.84x = 299,197.32 × 164,356.32
  4. Step 4: Simplify right side
    199,503.84x = 49,174,970,469.06
  5. Step 5: Solve for x
    x = 49,174,970,469.06/199,503.84
  6. Step 6: Final answer
    x = 246,486.34

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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.