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Finding the Fourth Proportional to 109,333, 164,009.63 and 50,160.07

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Solution

The fourth proportional to 109,333, 164,009.63 and 50,160.07 is: 75,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,333 : 164,009.63 = 50,160.07 : x
  2. Step 2: Convert to fraction form
    109,333/164,009.63 = 50,160.07/x
  3. Step 3: Cross multiply
    109,333x = 164,009.63 × 50,160.07
  4. Step 4: Simplify right side
    109,333x = 8,226,734,521.47
  5. Step 5: Solve for x
    x = 8,226,734,521.47/109,333
  6. Step 6: Final answer
    x = 75,244.75

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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.