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Finding the Fourth Proportional to 301,034.49, 451,235.64 and 101,285.53

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Solution

The fourth proportional to 301,034.49, 451,235.64 and 101,285.53 is: 151,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,034.49 : 451,235.64 = 101,285.53 : x
  2. Step 2: Convert to fraction form
    301,034.49/451,235.64 = 101,285.53/x
  3. Step 3: Cross multiply
    301,034.49x = 451,235.64 × 101,285.53
  4. Step 4: Simplify right side
    301,034.49x = 45,703,640,952.29
  5. Step 5: Solve for x
    x = 45,703,640,952.29/301,034.49
  6. Step 6: Final answer
    x = 151,821.94

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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.