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Finding the Fourth Proportional to 109,810.53, 164,778.03 and 50,646.20

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Solution

The fourth proportional to 109,810.53, 164,778.03 and 50,646.20 is: 75,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,810.53 : 164,778.03 = 50,646.20 : x
  2. Step 2: Convert to fraction form
    109,810.53/164,778.03 = 50,646.20/x
  3. Step 3: Cross multiply
    109,810.53x = 164,778.03 × 50,646.20
  4. Step 4: Simplify right side
    109,810.53x = 8,345,380,239.10
  5. Step 5: Solve for x
    x = 8,345,380,239.10/109,810.53
  6. Step 6: Final answer
    x = 75,998.00

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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.