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Finding the Fourth Proportional to 100,628.30, 150,942.45 and 65,198.90

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Solution

The fourth proportional to 100,628.30, 150,942.45 and 65,198.90 is: 97,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,628.30 : 150,942.45 = 65,198.90 : x
  2. Step 2: Convert to fraction form
    100,628.30/150,942.45 = 65,198.90/x
  3. Step 3: Cross multiply
    100,628.30x = 150,942.45 × 65,198.90
  4. Step 4: Simplify right side
    100,628.30x = 9,841,281,703.31
  5. Step 5: Solve for x
    x = 9,841,281,703.31/100,628.30
  6. Step 6: Final answer
    x = 97,798.35

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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.