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Finding the Fourth Proportional to 301,663.07, 451,805.69 and 144,002.24

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Solution

The fourth proportional to 301,663.07, 451,805.69 and 144,002.24 is: 215,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,663.07 : 451,805.69 = 144,002.24 : x
  2. Step 2: Convert to fraction form
    301,663.07/451,805.69 = 144,002.24/x
  3. Step 3: Cross multiply
    301,663.07x = 451,805.69 × 144,002.24
  4. Step 4: Simplify right side
    301,663.07x = 65,061,029,505.72
  5. Step 5: Solve for x
    x = 65,061,029,505.72/301,663.07
  6. Step 6: Final answer
    x = 215,674.50

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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.