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Finding the Fourth Proportional to 300,853.86, 451,303.47 and 101,174.82

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Solution

The fourth proportional to 300,853.86, 451,303.47 and 101,174.82 is: 151,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,853.86 : 451,303.47 = 101,174.82 : x
  2. Step 2: Convert to fraction form
    300,853.86/451,303.47 = 101,174.82/x
  3. Step 3: Cross multiply
    300,853.86x = 451,303.47 × 101,174.82
  4. Step 4: Simplify right side
    300,853.86x = 45,660,547,342.63
  5. Step 5: Solve for x
    x = 45,660,547,342.63/300,853.86
  6. Step 6: Final answer
    x = 151,769.86

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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.