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Finding the Fourth Proportional to 301,034.68, 451,235.93 and 101,285.72

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Solution

The fourth proportional to 301,034.68, 451,235.93 and 101,285.72 is: 151,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,034.68 : 451,235.93 = 101,285.72 : x
  2. Step 2: Convert to fraction form
    301,034.68/451,235.93 = 101,285.72/x
  3. Step 3: Cross multiply
    301,034.68x = 451,235.93 × 101,285.72
  4. Step 4: Simplify right side
    301,034.68x = 45,703,757,113.15
  5. Step 5: Solve for x
    x = 45,703,757,113.15/301,034.68
  6. Step 6: Final answer
    x = 151,822.23

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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.