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Finding the Fourth Proportional to 109,210.50, 163,816.56 and 35,338.50

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Solution

The fourth proportional to 109,210.50, 163,816.56 and 35,338.50 is: 53,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,210.50 : 163,816.56 = 35,338.50 : x
  2. Step 2: Convert to fraction form
    109,210.50/163,816.56 = 35,338.50/x
  3. Step 3: Cross multiply
    109,210.50x = 163,816.56 × 35,338.50
  4. Step 4: Simplify right side
    109,210.50x = 5,789,031,505.56
  5. Step 5: Solve for x
    x = 5,789,031,505.56/109,210.50
  6. Step 6: Final answer
    x = 53,008.01

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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.