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Finding the Fourth Proportional to 119,121.99, 164,387.21 and 65,406.53

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Solution

The fourth proportional to 119,121.99, 164,387.21 and 65,406.53 is: 90,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,121.99 : 164,387.21 = 65,406.53 : x
  2. Step 2: Convert to fraction form
    119,121.99/164,387.21 = 65,406.53/x
  3. Step 3: Cross multiply
    119,121.99x = 164,387.21 × 65,406.53
  4. Step 4: Simplify right side
    119,121.99x = 10,751,997,066.42
  5. Step 5: Solve for x
    x = 10,751,997,066.42/119,121.99
  6. Step 6: Final answer
    x = 90,260.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.